SOLUTION: Please help {{{(8.6 *10^-3)/(4.3 *10^5)}}} divide And write scientific notation {{{(8a^2+10ab-3) + (a^2b-9ab)- (4a^2b-ab+1)}}}Simplify {{{(14x^3y+28x^4y-7xy)/ (-7xy)}}}S

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help {{{(8.6 *10^-3)/(4.3 *10^5)}}} divide And write scientific notation {{{(8a^2+10ab-3) + (a^2b-9ab)- (4a^2b-ab+1)}}}Simplify {{{(14x^3y+28x^4y-7xy)/ (-7xy)}}}S      Log On


   

Question 171973: Please help
%288.6+%2A10%5E-3%29%2F%284.3+%2A10%5E5%29 divide And write scientific notation
%288a%5E2%2B10ab-3%29+%2B+%28a%5E2b-9ab%29-+%284a%5E2b-ab%2B1%29Simplify
%2814x%5E3y%2B28x%5E4y-7xy%29%2F+%28-7xy%29Simplify
%286a%5E2%2B1%29%282a%5E2%2B3%29Simplify
Answer by bob123132(33) About Me  (Show Source):
You can put this solution on YOUR website!
Firstly, thanks for putting the problems in correct brackets etc :D
First find the value of the divided numbers which is 200
then convert: 2*10^2
Or you can just divide each term.
Second
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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.

DETAILED EXPLANATION

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

Universal Simplifier and Solver


Done!

Third
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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.

DETAILED EXPLANATION

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

Universal Simplifier and Solver


Done!

Forth
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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.

DETAILED EXPLANATION

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 .
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.
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 .
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 .
Look at .
Multiplied numerator integers
It becomes highlight_green%28+12+%29%2Aa%5E2%2Aa%5E2%2B6%2Aa%5E2%2A3%2B2%2Aa%5E2%2B3.
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.
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.
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.
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.
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.
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

Universal Simplifier and Solver


Done!