SOLUTION: Subtract. (-4 – 2x5 + 9x7 – 8x6) – (x6 + 4x5 + 4 + 3x7)

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Question 387704: Subtract.
(-4 – 2x5 + 9x7 – 8x6) – (x6 + 4x5 + 4 + 3x7)

Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Add, Subtract and Multiply Polynomials and Simplify
Your Result:


YOUR ANSWER


  • 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.

DETAILED EXPLANATION

Look at .
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 .
Look at .
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 .
Look at .
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.
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.
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.
Look at .
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.
Look at .
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.
Look at .
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.
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.
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.
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.
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.
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.
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.
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.
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

Universal Simplifier and Solver


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