What is factor x^2-8xy+16y^2 ?

The solution to factor x^2-8xy+16y^2 is (x-4y)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^2-8xy+16y^2

factor

x^{2} - 8 x y + 16 y^{2}

(x - 4 y)^{2}

Solution steps

x^{2} - 8 x y + 16 y^{2}

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

16 y^{2} = (4 y)^{2}

- 8 x y = - 2 x \cdot 4 y

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

Apply Perfect Square Formula:

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

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

= (x - 4 y)^{2}

- - 15

x = \frac{4 ( 6 )}{( 6 ) - 3}

a^{2} - 5 a

2 x - 7 < 4 x - 2

\frac{4 x y ^{3}}{x ^{2} y} \cdot \frac{y}{8 x}