factor 45x^2-210x+245 — step-by-step solution

Let's factor in

ℝ

45 x^{2} - 210 x + 245

We factor out

5

, the greatest common divisor of the coefficients:

45 x^{2} - 210 x + 245

5 \cdot (9 x^{2} - 42 x + 49)

Recognize the square of a difference:

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

, with

a = 3 x

and

b = 7

; the cross term is

2 \cdot 3 x \cdot 7 = 42 x

Factor found:

{(3 x - 7)}^{2}

▶Factored expression:

5 \cdot {(3 x - 7)}^{2}