SOLUTION: Find the indicated product. -x^5y(3xy^4+3x^5y^4-x^4y)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the indicated product. -x^5y(3xy^4+3x^5y^4-x^4y)      Log On


   

Question 34489: Find the indicated product.
-x^5y(3xy^4+3x^5y^4-x^4y)
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: -x%5E5%2Ay%2A%283x%2Ay%5E4%2B3x%5E5%2Ay%5E4-x%5E4%2Ay%29 simplifies to -x%5E%286%29%2Ay%5E%285%29%2A3-x%5E%2810%29%2Ay%5E%285%29%2A3%2Bx%5E%289%29%2Ay%5E2
  • Text form: -x^5*y*(3x*y^4+3x^5*y^4-x^4*y) simplifies to -x^(6)*y^(5)*3-x^(10)*y^(5)*3+x^(9)*y^2
  • Cartoon (animation) form: simplify_cartoon%28+-x%5E5%2Ay%2A%283x%2Ay%5E4%2B3x%5E5%2Ay%5E4-x%5E4%2Ay%29+%29
    For tutors: simplify_cartoon( -x^5*y*(3x*y^4+3x^5*y^4-x^4*y) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -highlight_red%28+x%5E5%2Ay%2A%283%2Ax%2Ay%5E4%2B3%2Ax%5E5%2Ay%5E4-x%5E4%2Ay%29+%29.
Expanded term -x%5E5%2Ay by using associative property on %283%2Ax%2Ay%5E4%2B3%2Ax%5E5%2Ay%5E4-x%5E4%2Ay%29
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+x%5E5+%29 to highlight_green%28+x%5E%281%2B5%29+%29
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+y+%29 to highlight_green%28+y%5E%281%2B4%29+%29
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+x%5E5+%29 to highlight_green%28+x%5E%285%2B5%29+%29
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+y+%29 to highlight_green%28+y%5E%281%2B4%29+%29
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+x%5E5+%29 to highlight_green%28+x%5E%285%2B4%29+%29
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+y+%29 to highlight_green%28+y%5E2+%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 .
Added fractions or integers together
It becomes .
Look at .
Added fractions or integers together
It becomes .
Result: -x%5E%286%29%2Ay%5E%285%29%2A3-x%5E%2810%29%2Ay%5E%285%29%2A3%2Bx%5E%289%29%2Ay%5E2

Universal Simplifier and Solver


Done!