SOLUTION: I need help with this please: Multiply: -5x^5y(5x - 4xy^3 + 4y^4) I need to show my work but I don't I don't know how to figure this one out.

Algebra ->  Exponents -> SOLUTION: I need help with this please: Multiply: -5x^5y(5x - 4xy^3 + 4y^4) I need to show my work but I don't I don't know how to figure this one out.      Log On


   

Question 314040: I need help with this please:
Multiply: -5x^5y(5x - 4xy^3 + 4y^4)
I need to show my work but I don't I don't know how to figure this one out.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Use the distributive property.
I'll use a substitution to show you the particulars.
Let u=-5x%5E5y
-5x%5E5y%2A%285x+-+4xy%5E3+%2B+4y%5E4%29=u%2A%285x+-+4xy%5E3+%2B+4y%5E4%29
-5x%5E5y%2A%285x+-+4xy%5E3+%2B+4y%5E4%29=5ux+-+4uxy%5E3+%2B+4uy%5E4
It's that easy.
Now substitute back and simplify.