What is factor 25x^2-70x+49 ?

The solution to factor 25x^2-70x+49 is (5x-7)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 25x^2-70x+49

factor

25 x^{2} - 70 x + 49

(5 x - 7)^{2}

Solution steps

25 x^{2} - 70 x + 49

Rewrite in the form of

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

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

49 = 7^{2}

- 70 x = - 2 \cdot 5 x \cdot 7

= (5 x)^{2} - 2 \cdot 5 x \cdot 7 + 7^{2}

Apply Perfect Square Formula:

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

(5 x)^{2} - 2 \cdot 5 x \cdot 7 + 7^{2} = (5 x - 7)^{2}

= (5 x - 7)^{2}

6 x + 10

4 x + 1 > - 2 and 4 x + 1 \leq 17

x^{2} - 2 x + 2

(\frac{3}{8})^{3}

\frac{52}{13}