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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

factor

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

- 4 y (x - 2 y)

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

= ((x - 3 y) + (y - x)) ((x - 3 y) - (y - x))

Simplify

((x - 3 y) + (y - x)) ((x - 3 y) - (y - x)) : - 2 y (2 x - 4 y)

= - 2 y (2 x - 4 y)

Factor

2 x - 4 y : 2 (x - 2 y)

= - 2 y \cdot 2 (x - 2 y)

Multiply the numbers:

- 2 \cdot 2 = - 4

= - 4 y (x - 2 y)

\frac{2}{3} = \frac{x}{4}

1 + 2 n \geq 7

- 4 x + 9 - x < - 3

∣ - 2 x + 17 ∣ \geq 5

\frac{x - 7.8}{0.36} = 2.33

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