What is factor 20(4a+b)^2-45(2a-3b)^2 ?

The solution to factor 20(4a+b)^2-45(2a-3b)^2 is 35(2a-b)(2a+11b)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 20(4a+b)^2-45(2a-3b)^2

factor

20 (4 a + b)^{2} - 45 (2 a - 3 b)^{2}

35 (2 a - b) (2 a + 11 b)

Solution steps

20 (4 a + b)^{2} - 45 (2 a - 3 b)^{2}

Factor out common term

5 : 5 (4 (4 a + b)^{2} - 9 (2 a - 3 b)^{2})

= 5 (4 (4 a + b)^{2} - 9 (2 a - 3 b)^{2})

Factor

4 (4 a + b)^{2} - 9 (2 a - 3 b)^{2} : 7 (2 a - b) (2 a + 11 b)

= 5 \cdot 7 (2 a - b) (2 a + 11 b)

Multiply the numbers:

5 \cdot 7 = 35

= 35 (2 a - b) (2 a + 11 b)

\frac{5}{2} (2)^{- 2}

- \frac{4}{10}

4 x^{2} = - 5 x - 3

\frac{50}{50 - 5}

s^{2} - s g - 42 g^{2}

What is factor 20(4a+b)^2-45(2a-3b)^2 ?
The solution to factor 20(4a+b)^2-45(2a-3b)^2 is 35(2a-b)(2a+11b)