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)}}}

Algebra ->  Polynomials-and-rational-expressions -> 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)}}}      Log On


   

Question 308834: Please help me solve adding and subtracting polynomial: %28x%5E3+-3x%5E2y+%2B+4xy%5E2+%2B+y%5E3%29-%287x%5E3+-9x%5E2y+%2B+xy%5E2+%2By%5E3%29
Answer by ichudov(507) About Me  (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: %28x%5E3-3x%5E2y%2B4xy%5E2%2By%5E3%29-%287x%5E3-9x%5E2y%2Bxy%5E2%2By%5E3%29 simplifies to -6%2Ax%5E3%2B6%2Ax%5E2%2Ay%2B3%2Axy%5E2
  • 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 %28-6%29%2Ax%5E3%2B%286%29%2Ax%5E2%2Ay%2B%283%29%2Axy%5E2%2B0.
Added fractions or integers together
It becomes %28-6%29%2Ax%5E3%2B%286%29%2Ax%5E2%2Ay%2B%283%29%2Axy%5E2%2B0.
Look at %28-6%29%2Ax%5E3%2B%286%29%2Ax%5E2%2Ay%2B%283%29%2Axy%5E2%2Bhighlight_red%28+0+%29.
Remove extraneous zero highlight_red%28+0+%29
It becomes %28-6%29%2Ax%5E3%2B%286%29%2Ax%5E2%2Ay%2B%283%29%2Axy%5E2.
Look at %28highlight_red%28+-6+%29%29%2Ax%5E3%2B%286%29%2Ax%5E2%2Ay%2B%283%29%2Axy%5E2.
Removed extra sign in front of -6
It becomes %28-highlight_green%28+6+%29%29%2Ax%5E3%2B%286%29%2Ax%5E2%2Ay%2B%283%29%2Axy%5E2.
Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes -highlight_green%28+6+%29%2Ax%5E3%2B%286%29%2Ax%5E2%2Ay%2B%283%29%2Axy%5E2.
Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes -6%2Ax%5E3%2Bhighlight_green%28+6+%29%2Ax%5E2%2Ay%2B%283%29%2Axy%5E2.
Look at -6%2Ax%5E3%2B6%2Ax%5E2%2Ay%2Bhighlight_red%28+%28highlight_red%28+3+%29%29%2Axy%5E2+%29.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes -6%2Ax%5E3%2B6%2Ax%5E2%2Ay%2Bhighlight_green%28+3+%29%2Axy%5E2.
Result: -6%2Ax%5E3%2B6%2Ax%5E2%2Ay%2B3%2Axy%5E2

Universal Simplifier and Solver


Done!