SOLUTION: Please help me solve adding and subtracting polynomial: {{{(x^3 -3x^2y + 4xy^2 + y^3)-(7x^3 -9x^2y + xy^2 +y^3)}}}

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Question 308834: Please help me solve adding and subtracting polynomial:
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
For simple stuff like this, ALWAYS use our universal simplifier and solver.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: (x^3-3x^2y+4xy^2+y^3)-(7x^3-9x^2y+xy^2+y^3) simplifies to -6*x^3+6*x^2*y+3*xy^2
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (x^3-3x^2y+4xy^2+y^3)-(7x^3-9x^2y+xy^2+y^3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around terms highlight_red%28+x%5E3+%29,highlight_red%28+-3%2Ax%5E2%2Ay+%29,highlight_red%28+4%2Axy%5E2+%29,highlight_red%28+y%5E3+%29
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+-7%2Ax%5E3+%29,highlight_red%28+9%2Ax%5E2%2Ay+%29,highlight_red%28+-xy%5E2+%29,highlight_red%28+-y%5E3+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+x%5E3+%29,highlight_red%28+-7%2Ax%5E3+%29 replacing them with highlight_green%28+%281-7%29%2Ax%5E3+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+-3%2Ax%5E2%2Ay+%29,highlight_red%28+9%2Ax%5E2%2Ay+%29 replacing them with highlight_green%28+%28-3%2B9%29%2Ax%5E2%2Ay+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+4%2Axy%5E2+%29,highlight_red%28+-xy%5E2+%29 replacing them with highlight_green%28+%284-1%29%2Axy%5E2+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+y%5E3+%29,highlight_red%28+-y%5E3+%29 replacing them with highlight_green%28+%281-1%29%2Ay%5E3+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Since highlight_red%28+%281-1%29%2Ay%5E3+%29 has zero as a factor, it should be replaced with a zero
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Look at .
Removed extra sign in front of -6
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!
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