What is factor 2(a+b)^{(2)}+5(a+b)-3 ?

The solution to factor 2(a+b)^{(2)}+5(a+b)-3 is (2(a+b)-1)(a+b+3)

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factor 2(a+b)^{(2)}+5(a+b)-3

factor

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

(2 (a + b) - 1) (a + b + 3)

Solution steps

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

Break the expression into groups

= (2 (a + b)^{2} - (a + b)) + (6 (a + b) - 3)

Factor out

(a + b)

from

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

Factor out

3

from

6 (a + b) - 3 : 3 (2 (a + b) - 1)

= (a + b) (2 (a + b) - 1) + 3 (2 (a + b) - 1)

Factor out common term

2 (a + b) - 1

= (2 (a + b) - 1) ((a + b) + 3)

Refine

= (a + b + 3) (2 (a + b) - 1)

3 ab + a - 6 b d - 2 d

3 x^{3} - 2^{2} + 5 x - 8

a x + a y - a z - b x - b y + b z

5 5 + 55

(5 x^{25}) (x + 5)

What is factor 2(a+b)^{(2)}+5(a+b)-3 ?
The solution to factor 2(a+b)^{(2)}+5(a+b)-3 is (2(a+b)-1)(a+b+3)