SOLUTION: Completely factor the expression 27x2y + 90xy2 + 75y3

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Completely factor the expression 27x2y + 90xy2 + 75y3      Log On


   

Question 482579: Completely factor the expression
27x2y + 90xy2 + 75y3
Answer by mathstutor494(120) About Me  (Show Source):
You can put this solution on YOUR website!
27x2y + 90xy2 + 75y3
= 3y (9x^2 + 30xy + 25y^2)
= 3y (9x^2 + 15xy +15xy+25y^2)
= 3y {3x(3x+5y) + 5y(3x+5y)}
= 3y (3x+5y) (3x+5y)
= 3y (3x+5y)^2