document.write( "Question 171973: Please help\r
\n" ); document.write( "\n" ); document.write( " $\"%288.6+%2A10%5E-3%29%2F%284.3+%2A10%5E5%29\"$ divide And write scientific notation\r
\n" ); document.write( "\n" ); document.write( " $\"%288a%5E2%2B10ab-3%29+%2B+%28a%5E2b-9ab%29-+%284a%5E2b-ab%2B1%29\"$ Simplify\r
\n" ); document.write( "\n" ); document.write( " $\"%2814x%5E3y%2B28x%5E4y-7xy%29%2F+%28-7xy%29\"$ Simplify\r
\n" ); document.write( "\n" ); document.write( " $\"%286a%5E2%2B1%29%282a%5E2%2B3%29\"$ Simplify \n" ); document.write( "

Algebra.Com's Answer #128826 by bob123132(33) $\"\"$ $\"About$

You can put this solution on YOUR website!
Firstly, thanks for putting the problems in correct brackets etc :D\r
\n" ); document.write( "\n" ); document.write( "First find the value of the divided numbers which is 200
\n" ); document.write( "then convert: 2*10^2
\n" ); document.write( "Or you can just divide each term.
\n" ); document.write( "Second
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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Graphical form: $\"%288a%5E2%2B10ab-3%29%2B%28a%5E2b-9ab%29-%284a%5E2b-ab%2B1%29\"$ simplifies to $\"8%2Aa%5E2%2B2%2Aab-3%2Aa%5E2%2Ab-4\"$
Text form: (8a^2+10ab-3)+(a^2b-9ab)-(4a^2b-ab+1) simplifies to 8*a^2+2*ab-3*a^2*b-4
Cartoon (animation) form: $\"simplify_cartoon%28+%288a%5E2%2B10ab-3%29%2B%28a%5E2b-9ab%29-%284a%5E2b-ab%2B1%29+%29\"$
For tutors: simplify_cartoon( (8a^2+10ab-3)+(a^2b-9ab)-(4a^2b-ab+1) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at

.
Remove unneeded parentheses around terms $\"highlight_red%28+8%2Aa%5E2+%29\"$ , $\"highlight_red%28+10%2Aab+%29\"$ , $\"highlight_red%28+-3+%29\"$
It becomes

.
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Look at

.
Remove unneeded parentheses around terms $\"highlight_red%28+a%5E2%2Ab+%29\"$ , $\"highlight_red%28+-9%2Aab+%29\"$
It becomes

.
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Look at $\"8%2Aa%5E2%2B10%2Aab-3%2Ba%5E2%2Ab-9%2Aab-highlight_red%28+%284%2Aa%5E2%2Ab-ab%2B1%29+%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+-4%2Aa%5E2%2Ab+%29\"$ , $\"highlight_red%28+ab+%29\"$ , $\"highlight_red%28+-1+%29\"$
It becomes

.
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Look at

.
Added fractions or integers together
It becomes $\"8%2Aa%5E2%2B10%2Aab%2Bhighlight_green%28+-4+%29%2Ba%5E2%2Ab-9%2Aab-4%2Aa%5E2%2Ab%2Bab\"$ .
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Look at $\"8%2Aa%5E2%2B10%2Aab%2Bhighlight_red%28+-4+%29%2Ba%5E2%2Ab-9%2Aab-4%2Aa%5E2%2Ab%2Bab\"$ .
Moved $\"-4\"$ to the right of expression
It becomes $\"8%2Aa%5E2%2B10%2Aab%2Ba%5E2%2Ab-9%2Aab-4%2Aa%5E2%2Ab%2Bab%2Bhighlight_green%28+-4+%29\"$ .
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Look at $\"8%2Aa%5E2%2B10%2Aab%2Ba%5E2%2Ab-9%2Aab-4%2Aa%5E2%2Ab%2Bab%2Bhighlight_red%28+-4+%29\"$ .
Removed extra sign in front of $\"-4\"$
It becomes $\"8%2Aa%5E2%2B10%2Aab%2Ba%5E2%2Ab-9%2Aab-4%2Aa%5E2%2Ab%2Bab-highlight_green%28+4+%29\"$ .
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Look at

.
Eliminated similar terms $\"highlight_red%28+10%2Aab+%29\"$ , $\"highlight_red%28+-9%2Aab+%29\"$ , $\"highlight_red%28+ab+%29\"$ replacing them with $\"highlight_green%28+%2810-9%2B1%29%2Aab+%29\"$
It becomes $\"8%2Aa%5E2%2Bhighlight_green%28+%2810-9%2B1%29%2Aab+%29%2Ba%5E2%2Ab-4%2Aa%5E2%2Ab-4\"$ .
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Look at

.
Eliminated similar terms $\"highlight_red%28+a%5E2%2Ab+%29\"$ , $\"highlight_red%28+-4%2Aa%5E2%2Ab+%29\"$ replacing them with $\"highlight_green%28+%281-4%29%2Aa%5E2%2Ab+%29\"$
It becomes $\"8%2Aa%5E2%2B%2810-9%2B1%29%2Aab%2Bhighlight_green%28+%281-4%29%2Aa%5E2%2Ab+%29-4\"$ .
\n" ); document.write( "

Look at

.
Added fractions or integers together
It becomes $\"8%2Aa%5E2%2B%28highlight_green%28+2+%29%29%2Aab%2B%281-4%29%2Aa%5E2%2Ab-4\"$ .
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Look at $\"8%2Aa%5E2%2B%282%29%2Aab%2B%28highlight_red%28+1+%29-highlight_red%28+4+%29%29%2Aa%5E2%2Ab-4\"$ .
Added fractions or integers together
It becomes $\"8%2Aa%5E2%2B%282%29%2Aab%2B%28highlight_green%28+-3+%29%29%2Aa%5E2%2Ab-4\"$ .
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Look at $\"8%2Aa%5E2%2B%282%29%2Aab%2B%28highlight_red%28+-3+%29%29%2Aa%5E2%2Ab-4\"$ .
Removed extra sign in front of $\"-3\"$
It becomes $\"8%2Aa%5E2%2B%282%29%2Aab%2B%28-highlight_green%28+3+%29%29%2Aa%5E2%2Ab-4\"$ .
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Look at $\"8%2Aa%5E2%2Bhighlight_red%28+%28highlight_red%28+2+%29%29%2Aab+%29%2B%28-3%29%2Aa%5E2%2Ab-4\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"8%2Aa%5E2%2Bhighlight_green%28+2+%29%2Aab%2B%28-3%29%2Aa%5E2%2Ab-4\"$ .
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Look at $\"8%2Aa%5E2%2B2%2Aab%2Bhighlight_red%28+%28-highlight_red%28+3+%29%29%2Aa%5E2%2Ab+%29-4\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$
It becomes $\"8%2Aa%5E2%2B2%2Aab-highlight_green%28+3+%29%2Aa%5E2%2Ab-4\"$ .
Result: $\"8%2Aa%5E2%2B2%2Aab-3%2Aa%5E2%2Ab-4\"$
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Universal Simplifier and Solver

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Done!

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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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Graphical form: $\"%2814x%5E3y%2B28x%5E4y-7xy%29%2F%28-7xy%29\"$ simplifies to $\"-%2814%2Ax%5E3%2Ay%2B28%2Ax%5E4%2Ay-7%2Axy%29%2F7%2Fxy\"$
Text form: (14x^3y+28x^4y-7xy)/(-7xy) simplifies to -(14*x^3*y+28*x^4*y-7*xy)/7/xy
Cartoon (animation) form: $\"simplify_cartoon%28+%2814x%5E3y%2B28x%5E4y-7xy%29%2F%28-7xy%29+%29\"$
For tutors: simplify_cartoon( (14x^3y+28x^4y-7xy)/(-7xy) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at

.
Remove unneeded parentheses around factor $\"highlight_red%28+1%2F7+%29\"$ , $\"highlight_red%28+1%2Fxy+%29\"$
It becomes

.
Result: $\"-%2814%2Ax%5E3%2Ay%2B28%2Ax%5E4%2Ay-7%2Axy%29%2F7%2Fxy\"$
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Universal Simplifier and Solver

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Done!

\n" ); document.write( "\n" ); document.write( "Forth
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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Graphical form: $\"%286a%5E2%2B1%29%2A%282a%5E2%2B3%29\"$ simplifies to $\"12%2Aa%5E%284%29%2B20%2Aa%5E2%2B3\"$
Text form: (6a^2+1)*(2a^2+3) simplifies to 12*a^(4)+20*a^2+3
Cartoon (animation) form: $\"simplify_cartoon%28+%286a%5E2%2B1%29%2A%282a%5E2%2B3%29+%29\"$
For tutors: simplify_cartoon( (6a^2+1)*(2a^2+3) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+%286%2Aa%5E2%2B1%29%2A%282%2Aa%5E2%2B3%29+%29\"$ .
Expanded term $\"%282%2Aa%5E2%2B3%29\"$ by using associative property on $\"%286%2Aa%5E2%2B1%29\"$
It becomes

.
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Look at $\"%282%2Aa%5E2%2B3%29%2A6%2Aa%5E2%2B%282%2Aa%5E2%2B3%29%2Ahighlight_red%28+1+%29\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"%282%2Aa%5E2%2B3%29%2A6%2Aa%5E2%2B%282%2Aa%5E2%2B3%29\"$ .
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Look at $\"%282%2Aa%5E2%2B3%29%2A6%2Aa%5E2%2Bhighlight_red%28+%282%2Aa%5E2%2B3%29+%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+2%2Aa%5E2+%29\"$ , $\"highlight_red%28+3+%29\"$
It becomes

.
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Look at $\"highlight_red%28+%282%2Aa%5E2%2B3%29%2A6%2Aa%5E2+%29%2B2%2Aa%5E2%2B3\"$ .
Expanded term $\"6%2Aa%5E2\"$ by using associative property on $\"%282%2Aa%5E2%2B3%29\"$
It becomes

.
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Look at

.
Multiplied numerator integers
It becomes $\"highlight_green%28+12+%29%2Aa%5E2%2Aa%5E2%2B6%2Aa%5E2%2A3%2B2%2Aa%5E2%2B3\"$ .
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Look at $\"12%2Aa%5E2%2Aa%5E2%2Bhighlight_red%28+6+%29%2Aa%5E2%2Ahighlight_red%28+3+%29%2B2%2Aa%5E2%2B3\"$ .
Multiplied numerator integers
It becomes $\"12%2Aa%5E2%2Aa%5E2%2Bhighlight_green%28+18+%29%2Aa%5E2%2B2%2Aa%5E2%2B3\"$ .
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Look at $\"12%2Ahighlight_red%28+a%5E2+%29%2Ahighlight_red%28+a%5E2+%29%2B18%2Aa%5E2%2B2%2Aa%5E2%2B3\"$ .
Reduce similar several occurrences of $\"highlight_red%28+a%5E2+%29\"$ to $\"highlight_green%28+a%5E%282%2B2%29+%29\"$
It becomes $\"12%2Ahighlight_green%28+a%5E%282%2B2%29+%29%2B18%2Aa%5E2%2B2%2Aa%5E2%2B3\"$ .
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Look at $\"12%2Aa%5E%28highlight_red%28+2+%29%2Bhighlight_red%28+2+%29%29%2B18%2Aa%5E2%2B2%2Aa%5E2%2B3\"$ .
Added fractions or integers together
It becomes $\"12%2Aa%5E%28highlight_green%28+4+%29%29%2B18%2Aa%5E2%2B2%2Aa%5E2%2B3\"$ .
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Look at $\"12%2Aa%5E%284%29%2Bhighlight_red%28+18%2Aa%5E2+%29%2Bhighlight_red%28+2%2Aa%5E2+%29%2B3\"$ .
Eliminated similar terms $\"highlight_red%28+18%2Aa%5E2+%29\"$ , $\"highlight_red%28+2%2Aa%5E2+%29\"$ replacing them with $\"highlight_green%28+%2818%2B2%29%2Aa%5E2+%29\"$
It becomes $\"12%2Aa%5E%284%29%2Bhighlight_green%28+%2818%2B2%29%2Aa%5E2+%29%2B3\"$ .
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Look at $\"12%2Aa%5E%284%29%2B%28highlight_red%28+18+%29%2Bhighlight_red%28+2+%29%29%2Aa%5E2%2B3\"$ .
Added fractions or integers together
It becomes $\"12%2Aa%5E%284%29%2B%28highlight_green%28+20+%29%29%2Aa%5E2%2B3\"$ .
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Look at $\"12%2Aa%5E%284%29%2Bhighlight_red%28+%28highlight_red%28+20+%29%29%2Aa%5E2+%29%2B3\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+20+%29\"$
It becomes $\"12%2Aa%5E%284%29%2Bhighlight_green%28+20+%29%2Aa%5E2%2B3\"$ .
Result: $\"12%2Aa%5E%284%29%2B20%2Aa%5E2%2B3\"$
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Universal Simplifier and Solver

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Done!

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