What is factor (x-3)^2-4x^2 ?

The solution to factor (x-3)^2-4x^2 is -3(x-1)(x+3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x-3)^2-4x^2

factor

(x - 3)^{2} - 4 x^{2}

- 3 (x - 1) (x + 3)

Solution steps

(x - 3)^{2} - 4 x^{2}

Simplify

4 x^{2} : (2 x)^{2}

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

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x - 3)^{2} - (2 x)^{2} = ((x - 3) + 2 x) ((x - 3) - 2 x)

= ((x - 3) + 2 x) ((x - 3) - 2 x)

Simplify

((x - 3) + 2 x) ((x - 3) - 2 x) : (3 x - 3) (- x - 3)

= (3 x - 3) (- x - 3)

Factor

3 x - 3 : 3 (x - 1)

Factor

- x - 3 : - (x + 3)

= 3 (x - 1) (- (x + 3))

Apply rule:

a (- b) = - ab

3 (x - 1) (- (x + 3)) = - 3 (x - 1) (x + 3)

= - 3 (x - 1) (x + 3)

360 = - 16 (3)^{2} + x (3) + 434

- 1 + 7

x + 3 > x + 7

\frac{n}{1.1} = 2.1

What is factor (x-3)^2-4x^2 ?
The solution to factor (x-3)^2-4x^2 is -3(x-1)(x+3)