What is factor (x-y)^2-4(p-q)^2 ?

The solution to factor (x-y)^2-4(p-q)^2 is (x-y+2p-2q)(x-y-2p+2q)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x-y)^2-4(p-q)^2

factor

(x - y)^{2} - 4 (p - q)^{2}

(x - y + 2 p - 2 q) (x - y - 2 p + 2 q)

Solution steps

(x - y)^{2} - 4 (p - q)^{2}

Simplify

4 (p - q)^{2} : (2 (p - q))^{2}

= (x - y)^{2} - (2 (p - q))^{2}

Apply Difference of Two Squares Formula:

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

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

= ((x - y) + 2 (p - q)) ((x - y) - 2 (p - q))

Simplify

((x - y) + 2 (p - q)) ((x - y) - 2 (p - q)) : (x - y + 2 p - 2 q) (x - y - 2 p + 2 q)

= (x - y + 2 p - 2 q) (x - y - 2 p + 2 q)

x^{2} - x > 12

m < \frac{1}{2} (40 + 90)

8 = a (0 - 10)^{2}

- 3 < 4 z - 3 \leq 13

225 x^{2} - 360 x + 144 = 0

What is factor (x-y)^2-4(p-q)^2 ?
The solution to factor (x-y)^2-4(p-q)^2 is (x-y+2p-2q)(x-y-2p+2q)