What is factor-3b^2-7b-4 ?

The solution to factor-3b^2-7b-4 is -(b+1)(3b+4)

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factor-3b^2-7b-4

factor

- 3 b^{2} - 7 b - 4

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

Solution steps

- 3 b^{2} - 7 b - 4

Break the expression into groups

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

Factor out

- 3 b

from

- 3 b^{2} - 3 b : - 3 b (b + 1)

Factor out

- 4

from

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

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

Factor out common term

b + 1

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

Factor

- 3 b - 4 : - (3 b + 4)

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

Apply rule:

a (- b) = - ab

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

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

3 x 2

5 \cdot 6 \cdot 6

\frac{9.1 - 9}{9.1 - 3}

\frac{3}{a} + \frac{3}{b}

125 x^{7} - 45 x