What is factor 25x^2-40x+16 ?

The solution to factor 25x^2-40x+16 is (5x-4)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 25x^2-40x+16

factor

25 x^{2} - 40 x + 16

(5 x - 4)^{2}

Solution steps

25 x^{2} - 40 x + 16

Rewrite in the form of

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

25 x^{2} = (5 x)^{2}

16 = 4^{2}

- 40 x = - 2 \cdot 5 x \cdot 4

= (5 x)^{2} - 2 \cdot 5 x \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

(5 x)^{2} - 2 \cdot 5 x \cdot 4 + 4^{2} = (5 x - 4)^{2}

= (5 x - 4)^{2}

45

3 x^{2} + 3 x - 90

\frac{6 ^{2} - 2 ( 6 ) - 8}{6 ^{2} - 14 ( 6 ) + 45}

\frac{26}{52} \cdot \frac{25}{51}

\frac{( x + 4 )}{x - 2} - \frac{( x + 3 )}{x - 5} > 0