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

The expression:

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

contains several variables so we pick x for factorization

Let's factor in

ℝ

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

You can write the expression in factored form:

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

⇥Let's factorize in

ℝ

(x + 2^{2})

⇥ⓘ Powers are computed before multiplications, additions and subtractions. An integer power is a repeated product:

2^{2}

2 \cdot 2

4

⇥

(x + 4)

⇥Factor found:

x + 4

▶Factored expression:

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