SOLUTION: Completely factor the expression 147x^2y + 42xy^2 + 3y^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Completely factor the expression 147x^2y + 42xy^2 + 3y^3       Log On


   

Question 551516: Completely factor the expression
147x^2y + 42xy^2 + 3y^3
Found 2 solutions by scott8148, Earlsdon:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
3y(49x^2 + 14xy + y^2)

3y(7x + y)(7x + y)

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
147x%5E2y%2B42xy%5E2%2B3y%5E3 Each of the coefficients is divisible by 3y so factor a 3y.
3y%2849x%5E2%2B14xy%2By%5E2%29 The trinomial looks like a perfect square so...
3y%287x%2By%29%287x%2By%29 Check by multiplying the factors.