document.write( "Question 367729: Subtract.
\n" ); document.write( "(4n^6 – 7n^5 + 5) – (9n^6 – n^5 + 8) \n" ); document.write( "

Algebra.Com's Answer #262117 by ichudov(507) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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Graphical form: $\"%284n%5E6-7n%5E5%2B5%29-%289n%5E6-n%5E5%2B8%29\"$ simplifies to $\"-5%2An%5E6-6%2An%5E5-3\"$
Text form: (4n^6-7n^5+5)-(9n^6-n^5+8) simplifies to -5*n^6-6*n^5-3
Cartoon (animation) form: $\"simplify_cartoon%28+%284n%5E6-7n%5E5%2B5%29-%289n%5E6-n%5E5%2B8%29+%29\"$
For tutors: simplify_cartoon( (4n^6-7n^5+5)-(9n^6-n^5+8) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+%284%2An%5E6-7%2An%5E5%2B5%29+%29-%289%2An%5E6-n%5E5%2B8%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+4%2An%5E6+%29\"$ , $\"highlight_red%28+-7%2An%5E5+%29\"$ , $\"highlight_red%28+5+%29\"$
It becomes

.
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Look at $\"4%2An%5E6-7%2An%5E5%2B5-highlight_red%28+%289%2An%5E6-n%5E5%2B8%29+%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+-9%2An%5E6+%29\"$ , $\"highlight_red%28+n%5E5+%29\"$ , $\"highlight_red%28+-8+%29\"$
It becomes

.
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Look at $\"4%2An%5E6-7%2An%5E5%2Bhighlight_red%28+5+%29-9%2An%5E6%2Bn%5E5-highlight_red%28+8+%29\"$ .
Added fractions or integers together
It becomes $\"4%2An%5E6-7%2An%5E5%2Bhighlight_green%28+-3+%29-9%2An%5E6%2Bn%5E5\"$ .
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Look at $\"4%2An%5E6-7%2An%5E5%2Bhighlight_red%28+-3+%29-9%2An%5E6%2Bn%5E5\"$ .
Moved $\"-3\"$ to the right of expression
It becomes $\"4%2An%5E6-7%2An%5E5-9%2An%5E6%2Bn%5E5%2Bhighlight_green%28+-3+%29\"$ .
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Look at $\"4%2An%5E6-7%2An%5E5-9%2An%5E6%2Bn%5E5%2Bhighlight_red%28+-3+%29\"$ .
Removed extra sign in front of $\"-3\"$
It becomes $\"4%2An%5E6-7%2An%5E5-9%2An%5E6%2Bn%5E5-highlight_green%28+3+%29\"$ .
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Look at $\"highlight_red%28+4%2An%5E6+%29-7%2An%5E5-highlight_red%28+9%2An%5E6+%29%2Bn%5E5-3\"$ .
Eliminated similar terms $\"highlight_red%28+4%2An%5E6+%29\"$ , $\"highlight_red%28+-9%2An%5E6+%29\"$ replacing them with $\"highlight_green%28+%284-9%29%2An%5E6+%29\"$
It becomes $\"highlight_green%28+%284-9%29%2An%5E6+%29-7%2An%5E5%2Bn%5E5-3\"$ .
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Look at $\"%284-9%29%2An%5E6-highlight_red%28+7%2An%5E5+%29%2Bhighlight_red%28+n%5E5+%29-3\"$ .
Eliminated similar terms $\"highlight_red%28+-7%2An%5E5+%29\"$ , $\"highlight_red%28+n%5E5+%29\"$ replacing them with $\"highlight_green%28+%28-7%2B1%29%2An%5E5+%29\"$
It becomes $\"%284-9%29%2An%5E6%2Bhighlight_green%28+%28-7%2B1%29%2An%5E5+%29-3\"$ .
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Look at $\"%28highlight_red%28+4+%29-highlight_red%28+9+%29%29%2An%5E6%2B%28-7%2B1%29%2An%5E5-3\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-5+%29%29%2An%5E6%2B%28-7%2B1%29%2An%5E5-3\"$ .
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Look at $\"%28-5%29%2An%5E6%2B%28-highlight_red%28+7+%29%2Bhighlight_red%28+1+%29%29%2An%5E5-3\"$ .
Added fractions or integers together
It becomes $\"%28-5%29%2An%5E6%2B%28highlight_green%28+-6+%29%29%2An%5E5-3\"$ .
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Look at $\"%28highlight_red%28+-5+%29%29%2An%5E6%2B%28-6%29%2An%5E5-3\"$ .
Removed extra sign in front of $\"-5\"$
It becomes $\"%28-highlight_green%28+5+%29%29%2An%5E6%2B%28-6%29%2An%5E5-3\"$ .
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Look at $\"%28-5%29%2An%5E6%2B%28highlight_red%28+-6+%29%29%2An%5E5-3\"$ .
Removed extra sign in front of $\"-6\"$
It becomes $\"%28-5%29%2An%5E6%2B%28-highlight_green%28+6+%29%29%2An%5E5-3\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+5+%29%29%2An%5E6+%29%2B%28-6%29%2An%5E5-3\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$
It becomes $\"-highlight_green%28+5+%29%2An%5E6%2B%28-6%29%2An%5E5-3\"$ .
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Look at $\"-5%2An%5E6%2Bhighlight_red%28+%28-highlight_red%28+6+%29%29%2An%5E5+%29-3\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"-5%2An%5E6-highlight_green%28+6+%29%2An%5E5-3\"$ .
Result: $\"-5%2An%5E6-6%2An%5E5-3\"$
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Universal Simplifier and Solver

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Done!

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