i need help solving this equation

Question

Factor the polynomial completely.

 

3x²+32xy−176y2

Answer 1

 

 

Factors of 3x²

 

    3x • x

 

Factors of 176y²

 

    176y • y

      88y • 2y

      44y • 4y

      22y • 8y

      11y •16y

 

By trial an error,

 

The factored result is:

 

      (3x + 44y)(x - 4y)

 

We look to multiply  to get the middle term ... 32xy ...44xy - 12xy = 32xy