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

The solution to factor 2(a+b)^2+3(a+b)-2 is (2(a+b)-1)(a+b+2)

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factor 2(a+b)^2+3(a+b)-2

factor

2 (a + b)^{2} + 3 (a + b) - 2

(2 (a + b) - 1) (a + b + 2)

Solution steps

2 (a + b)^{2} + 3 (a + b) - 2

Break the expression into groups

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

Factor out

(a + b)

from

2 (a + b)^{2} - (a + b) : (a + b) (2 (a + b) - 1)

Factor out

2

from

4 (a + b) - 2 : 2 (2 (a + b) - 1)

= (a + b) (2 (a + b) - 1) + 2 (2 (a + b) - 1)

Factor out common term

2 (a + b) - 1

= (2 (a + b) - 1) ((a + b) + 2)

Refine

= (a + b + 2) (2 (a + b) - 1)

(a \cdot b) + (a \cdot c)

49 m 6 - 70 am 3 n 2 + 25 a 2 n 4

3 sin (2 x + 2)

(\frac{3}{5} x - 5)^{3}

(2.163 \cdot m) - 2.548

What is factor 2(a+b)^2+3(a+b)-2 ?
The solution to factor 2(a+b)^2+3(a+b)-2 is (2(a+b)-1)(a+b+2)