Need help factoring trinomial!?

Question

I'm not very good at factoring trinomials with different variables that are squared. Can you explain how you came up with your answer PLEASE!!

35x^2+xy-12y^2

Answer 1

= 35x² + xy - 12y²

Now solve the factor method.

Look at the product of the first and last coefficients: (30)(-12) = - 420.

We want two factors of - 420 whose sum middle coefficient of 1, and they are 21 and -20.

= 35x² + 21xy -20xy - 12y²

Take out common terms.

= 7x(5x + 3y) -4y(5x + 3y)

Take out common factors.

= (7x - 4y)(5x + 3y).

Comments

Look at the product of the first and last coefficients: (35)(-12) = - 420.