What is factor 25a^2-4b^2 ?

The solution to factor 25a^2-4b^2 is (5a+2b)(5a-2b)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 25a^2-4b^2

factor

25 a^{2} - 4 b^{2}

(5 a + 2 b) (5 a - 2 b)

Solution steps

25 a^{2} - 4 b^{2}

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

4 b^{2} = (2 b)^{2}

= (5 a)^{2} - (2 b)^{2}

Apply Difference of Two Squares Formula:

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

(5 a)^{2} - (2 b)^{2} = (5 a + 2 b) (5 a - 2 b)

= (5 a + 2 b) (5 a - 2 b)

8 - 18

(1024)^{\frac{1}{5}}

(+ 3) (- 8) (- 2) (- 1)

- 9 a - 6 a

22 - 9 (x + 3 y) - (x + 3 y)^{2}