What is factor (x+2y)^2-16p^2 ?

The solution to factor (x+2y)^2-16p^2 is (x+2y+4p)(x+2y-4p)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x+2y)^2-16p^2

factor

(x + 2 y)^{2} - 16 p^{2}

(x + 2 y + 4 p) (x + 2 y - 4 p)

Solution steps

(x + 2 y)^{2} - 16 p^{2}

Simplify

16 p^{2} : (4 p)^{2}

= (x + 2 y)^{2} - (4 p)^{2}

Apply Difference of Two Squares Formula:

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

(x + 2 y)^{2} - (4 p)^{2} = ((x + 2 y) + 4 p) ((x + 2 y) - 4 p)

= ((x + 2 y) + 4 p) ((x + 2 y) - 4 p)

Apply rule:

(a) = a

(x + 2 y) = x + 2 y

= (x + 2 y + 4 p) (x + 2 y - 4 p)

202 2^{2}

\frac{34}{40}

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

\frac{34}{85}

lo g_{8} (27)

What is factor (x+2y)^2-16p^2 ?
The solution to factor (x+2y)^2-16p^2 is (x+2y+4p)(x+2y-4p)