What is factor 6(2p+q)^2+(2p+q)-2 ?

The solution to factor 6(2p+q)^2+(2p+q)-2 is (2(2p+q)-1)(3(2p+q)+2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 6(2p+q)^2+(2p+q)-2

factor

6 (2 p + q)^{2} + (2 p + q) - 2

(2 (2 p + q) - 1) (3 (2 p + q) + 2)

Solution steps

6 (2 p + q)^{2} + (2 p + q) - 2

Break the expression into groups

= (6 (2 p + q)^{2} - 3 (2 p + q)) + (4 (2 p + q) - 2)

Factor out

3 (2 p + q)

from

6 (2 p + q)^{2} - 3 (2 p + q) : 3 (2 p + q) (2 (2 p + q) - 1)

Factor out

2

from

4 (2 p + q) - 2 : 2 (2 (2 p + q) - 1)

= 3 (2 p + q) (2 (2 p + q) - 1) + 2 (2 (2 p + q) - 1)

Factor out common term

2 (2 p + q) - 1

= (2 (2 p + q) - 1) (3 (2 p + q) + 2)

3 b z - b y - 9 m z + 3 m y

4 x z - 4 yz - x + y

e^{2} + e^{3}

25 (π)

(x + 7)^{3} - 8

What is factor 6(2p+q)^2+(2p+q)-2 ?
The solution to factor 6(2p+q)^2+(2p+q)-2 is (2(2p+q)-1)(3(2p+q)+2)