Answer:
[tex]2(8x+3y)^2)[/tex]
Step-by-step explanation:
The given expression is [tex]128x^2+96xy+18y^2[/tex].
We factor the GCF to get:
[tex]2(64x^2+48xy+9y^2)[/tex]
This can be rewritten as:
[tex]2[(8x)^2+2(3\times8)xy+(3y)^2][/tex]
We can observe that the quadratic trinomial is a perfect square)
[tex]2(8x+3y)^2)[/tex]
Therefore the completely factored form of the given trinomial is [tex]2(8x+3y)^2)[/tex]
