SOLUTION: Factor the following. {{{25y^2x^2+40yx^2+16x^2}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the following. {{{25y^2x^2+40yx^2+16x^2}}}      Log On


   

Question 419212: Factor the following.
25y%5E2x%5E2%2B40yx%5E2%2B16x%5E2
Found 2 solutions by ewatrrr, duckness73:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Factoring the following.

25y%5E2x%5E2%2B40yx%5E2%2B16x%5E2+=+%285xy+%2B+4x%29%285xy+%2B4x%29+=+%285xy%2B4x%29%5E2

Note:SUM of the inner product(20x^2y) and the outer product(20x^y) = 40x^2y

Answer by duckness73(47) About Me  (Show Source):
You can put this solution on YOUR website!
Note that each term has x^2. Let's factor that out:
(x^2)(25y^2 + 40y + 16)
The remaining expression looks like it can be factored:
(x^2) (5y + 4) (5y + 4) or, simplifying:
(x^2) ((5y + 4)^2)