Question

Factor completely, 128x 2 +96xy + 18y 2

Answer 1

`2(8x+3y)^2)`

Explanation:

The given expression is
`128x^2+96xy+18y^2`.

We factor the GCF to get:

`2(64x^2+48xy+9y^2)`

This can be rewritten as:

`2[(8x)^2+2(3*8)xy+(3y)^2]`

We can observe that the quadratic trinomial is a perfect square)

`2(8x+3y)^2)`

Therefore the completely factored form of the given trinomial is
`2(8x+3y)^2)`