document.write( "Question 387704: Subtract.
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Algebra.Com's Answer #274089 by Jk22(389) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: Add, Subtract and Multiply Polynomials and Simplify

Your Result:

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Graphical form: $\"%28-4-2%2Ax%5E5%2B9%2Ax%5E7-8%2Ax%5E6%29-%28x%5E6%2B4%2Ax%5E5%2B4%2B3%2Ax%5E7%29\"$ simplifies to $\"-6%2Ax%5E5%2B6%2Ax%5E7-9%2Ax%5E6-8\"$
Text form: (-4-2*x^5+9*x^7-8*x^6)-(x^6+4*x^5+4+3*x^7) simplifies to -6*x^5+6*x^7-9*x^6-8
Cartoon (animation) form:
For tutors: simplify_cartoon( (-4-2*x^5+9*x^7-8*x^6)-(x^6+4*x^5+4+3*x^7) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at

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Remove unneeded parentheses around terms $\"highlight_red%28+-4+%29\"$ , $\"highlight_red%28+-2%2Ax%5E5+%29\"$ , $\"highlight_red%28+9%2Ax%5E7+%29\"$ , $\"highlight_red%28+-8%2Ax%5E6+%29\"$
It becomes

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Look at

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Remove unneeded parentheses around terms $\"highlight_red%28+-x%5E6+%29\"$ , $\"highlight_red%28+-4%2Ax%5E5+%29\"$ , $\"highlight_red%28+-4+%29\"$ , $\"highlight_red%28+-3%2Ax%5E7+%29\"$
It becomes

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Look at

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Added fractions or integers together
It becomes $\"highlight_green%28+-8+%29-2%2Ax%5E5%2B9%2Ax%5E7-8%2Ax%5E6-x%5E6-4%2Ax%5E5-3%2Ax%5E7\"$ .
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Look at $\"highlight_red%28+-8+%29-2%2Ax%5E5%2B9%2Ax%5E7-8%2Ax%5E6-x%5E6-4%2Ax%5E5-3%2Ax%5E7\"$ .
Moved $\"-8\"$ to the right of expression
It becomes $\"-2%2Ax%5E5%2B9%2Ax%5E7-8%2Ax%5E6-x%5E6-4%2Ax%5E5-3%2Ax%5E7%2Bhighlight_green%28+-8+%29\"$ .
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Look at $\"-2%2Ax%5E5%2B9%2Ax%5E7-8%2Ax%5E6-x%5E6-4%2Ax%5E5-3%2Ax%5E7%2Bhighlight_red%28+-8+%29\"$ .
Removed extra sign in front of $\"-8\"$
It becomes $\"-2%2Ax%5E5%2B9%2Ax%5E7-8%2Ax%5E6-x%5E6-4%2Ax%5E5-3%2Ax%5E7-highlight_green%28+8+%29\"$ .
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Look at

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Eliminated similar terms $\"highlight_red%28+-2%2Ax%5E5+%29\"$ , $\"highlight_red%28+-4%2Ax%5E5+%29\"$ replacing them with $\"highlight_green%28+%28-2-4%29%2Ax%5E5+%29\"$
It becomes $\"highlight_green%28+%28-2-4%29%2Ax%5E5+%29%2B9%2Ax%5E7-8%2Ax%5E6-x%5E6-3%2Ax%5E7-8\"$ .
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Look at

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Eliminated similar terms $\"highlight_red%28+9%2Ax%5E7+%29\"$ , $\"highlight_red%28+-3%2Ax%5E7+%29\"$ replacing them with $\"highlight_green%28+%289-3%29%2Ax%5E7+%29\"$
It becomes $\"%28-2-4%29%2Ax%5E5%2Bhighlight_green%28+%289-3%29%2Ax%5E7+%29-8%2Ax%5E6-x%5E6-8\"$ .
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Look at

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Eliminated similar terms $\"highlight_red%28+-8%2Ax%5E6+%29\"$ , $\"highlight_red%28+-x%5E6+%29\"$ replacing them with $\"highlight_green%28+%28-8-1%29%2Ax%5E6+%29\"$
It becomes $\"%28-2-4%29%2Ax%5E5%2B%289-3%29%2Ax%5E7%2Bhighlight_green%28+%28-8-1%29%2Ax%5E6+%29-8\"$ .
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Look at

.
Added fractions or integers together
It becomes $\"%28highlight_green%28+-6+%29%29%2Ax%5E5%2B%289-3%29%2Ax%5E7%2B%28-8-1%29%2Ax%5E6-8\"$ .
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Look at

.
Added fractions or integers together
It becomes $\"%28-6%29%2Ax%5E5%2B%28highlight_green%28+6+%29%29%2Ax%5E7%2B%28-8-1%29%2Ax%5E6-8\"$ .
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Look at

.
Added fractions or integers together
It becomes $\"%28-6%29%2Ax%5E5%2B%286%29%2Ax%5E7%2B%28highlight_green%28+-9+%29%29%2Ax%5E6-8\"$ .
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Look at $\"%28highlight_red%28+-6+%29%29%2Ax%5E5%2B%286%29%2Ax%5E7%2B%28-9%29%2Ax%5E6-8\"$ .
Removed extra sign in front of $\"-6\"$
It becomes $\"%28-highlight_green%28+6+%29%29%2Ax%5E5%2B%286%29%2Ax%5E7%2B%28-9%29%2Ax%5E6-8\"$ .
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Look at $\"%28-6%29%2Ax%5E5%2B%286%29%2Ax%5E7%2B%28highlight_red%28+-9+%29%29%2Ax%5E6-8\"$ .
Removed extra sign in front of $\"-9\"$
It becomes $\"%28-6%29%2Ax%5E5%2B%286%29%2Ax%5E7%2B%28-highlight_green%28+9+%29%29%2Ax%5E6-8\"$ .
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Look at

.
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"-highlight_green%28+6+%29%2Ax%5E5%2B%286%29%2Ax%5E7%2B%28-9%29%2Ax%5E6-8\"$ .
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Look at $\"-6%2Ax%5E5%2Bhighlight_red%28+%28highlight_red%28+6+%29%29%2Ax%5E7+%29%2B%28-9%29%2Ax%5E6-8\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"-6%2Ax%5E5%2Bhighlight_green%28+6+%29%2Ax%5E7%2B%28-9%29%2Ax%5E6-8\"$ .
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Look at $\"-6%2Ax%5E5%2B6%2Ax%5E7%2Bhighlight_red%28+%28-highlight_red%28+9+%29%29%2Ax%5E6+%29-8\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+9+%29\"$
It becomes $\"-6%2Ax%5E5%2B6%2Ax%5E7-highlight_green%28+9+%29%2Ax%5E6-8\"$ .
Result: $\"-6%2Ax%5E5%2B6%2Ax%5E7-9%2Ax%5E6-8\"$
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Universal Simplifier and Solver

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Done!
-6*x^5+6*x^7-9*x^6-8

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