What is factor 4(2a+b)^2+4(2a+b)-24 ?

The solution to factor 4(2a+b)^2+4(2a+b)-24 is 4(4a^2+4ab+b^2+2a+b-6)

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factor 4(2a+b)^2+4(2a+b)-24

factor

4 (2 a + b)^{2} + 4 (2 a + b) - 24

4 (4 a^{2} + 4 ab + b^{2} + 2 a + b - 6)

Solution steps

4 (2 a + b)^{2} + 4 (2 a + b) - 24

Factor out common term

4 : 4 ((2 a + b)^{2} + 2 a + b - 6)

= 4 ((2 a + b)^{2} + 2 a + b - 6)

Expand

(2 a + b)^{2} + 2 a + b - 6 : 4 a^{2} + 4 ab + b^{2} + 2 a + b - 6

= 4 (4 a^{2} + 4 ab + b^{2} + 2 a + b - 6)

2 (\frac{48}{3})^{\frac{1}{4}}

x^{2} - 27 x + 176 = 0

\frac{m ^{2} - 9}{m - 3}

3 x^{2} - 16 x + 5

3 x^{2} + 15 x + 18

What is factor 4(2a+b)^2+4(2a+b)-24 ?
The solution to factor 4(2a+b)^2+4(2a+b)-24 is 4(4a^2+4ab+b^2+2a+b-6)