factor x^2*(3y-4)-2*(6y-8) — step-by-step solution

The expression:

x^{2} \cdot (3 y - 4) - 2 \cdot (6 y - 8)

contains several variables so we pick x for factoring

Let's factor in

ℝ

x^{2} \cdot (3 y - 4) - 2 \cdot (6 y - 8)

This expression can be factorized into:

(3 y - 4) \cdot (x^{2} - 4)

⇥Let's factor in

ℝ

(x^{2} - 4)

⇥For

x^{2} - 4

, we recognize a difference of two squares:

x^{2} - 2^{2}

. Apply

a^{2} - b^{2} = (a - b) \cdot (a + b)

, with

a = x

and

b = 2

▷The factor

(x^{2} - 4)

factors as:

(x + 2) \cdot (x - 2)

▶Factored expression:

(x + 2) \cdot (x - 2) \cdot (3 y - 4)