What is factor 4a^3-a^2b-36a+9b ?

The solution to factor 4a^3-a^2b-36a+9b is (4a-b)(a+3)(a-3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 4a^3-a^2b-36a+9b

factor

4 a^{3} - a^{2} b - 36 a + 9 b

(4 a - b) (a + 3) (a - 3)

Solution steps

4 a^{3} - a^{2} b - 36 a + 9 b

= (4 a^{3} - a^{2} b) + (9 b - 36 a)

Factor out

a^{2}

from

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

Factor out

9

from

9 b - 36 a : 9 (b - 4 a)

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

9 (b - 4 a) = - 9 (4 a - b)

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

Factor out common term

4 a - b

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

Factor

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

= (4 a - b) (a + 3) (a - 3)

x^{2} + y^{2} + 2 x y

- 14 \geq 7 n

\frac{10 !}{( 10 - 2 ) ! 2 !}

∣ w - 2 ∣ \leq 5

- 2 = \frac{x}{4} + 1

What is factor 4a^3-a^2b-36a+9b ?
The solution to factor 4a^3-a^2b-36a+9b is (4a-b)(a+3)(a-3)