What is factor 25x^2-80x+64 ?

The solution to factor 25x^2-80x+64 is (5x-8)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 25x^2-80x+64

factor

25 x^{2} - 80 x + 64

(5 x - 8)^{2}

Solution steps

25 x^{2} - 80 x + 64

Rewrite in the form of

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

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

64 = 8^{2}

- 80 x = - 2 \cdot 5 x \cdot 8

= (5 x)^{2} - 2 \cdot 5 x \cdot 8 + 8^{2}

Apply Perfect Square Formula:

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

(5 x)^{2} - 2 \cdot 5 x \cdot 8 + 8^{2} = (5 x - 8)^{2}

= (5 x - 8)^{2}

9 (9 h + 8 k)

(4)^{2} + (- 3)^{2}

2 x^{2} + 19 x + 45

9 a - 10 a

9 + 2 n + 1 - 9 n