What is factor 4(a+b)^2+11(a+b)-3 ?

The solution to factor 4(a+b)^2+11(a+b)-3 is (4(a+b)-1)(a+b+3)

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factor 4(a+b)^2+11(a+b)-3

factor

4 (a + b)^{2} + 11 (a + b) - 3

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

Solution steps

4 (a + b)^{2} + 11 (a + b) - 3

Break the expression into groups

= (4 (a + b)^{2} - (a + b)) + (12 (a + b) - 3)

Factor out

(a + b)

from

4 (a + b)^{2} - (a + b) : (a + b) (4 (a + b) - 1)

Factor out

3

from

12 (a + b) - 3 : 3 (4 (a + b) - 1)

= (a + b) (4 (a + b) - 1) + 3 (4 (a + b) - 1)

Factor out common term

4 (a + b) - 1

= (4 (a + b) - 1) ((a + b) + 3)

Refine

= (a + b + 3) (4 (a + b) - 1)

- \frac{\frac{16}{49}}{( - \frac{4}{35} )}

7.5

2 x^{2} + 9 x - 5 = 0

20 - 15 t^{2} \geq 0

20 0^{\frac{1}{2}}

What is factor 4(a+b)^2+11(a+b)-3 ?
The solution to factor 4(a+b)^2+11(a+b)-3 is (4(a+b)-1)(a+b+3)