What is factor 4x(x+1)-7(x+1)^2 ?

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

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factor 4x(x+1)-7(x+1)^2

factor

4 x (x + 1) - 7 (x + 1)^{2}

- (x + 1) (3 x + 7)

Solution steps

4 x (x + 1) - 7 (x + 1)^{2}

Factor out common term

(x + 1) : (x + 1) (4 x - 7 (x + 1))

= (x + 1) (4 x - 7 (x + 1))

Expand

4 x - 7 (x + 1) : - 3 x - 7

= (x + 1) (- 3 x - 7)

Factor

- 3 x - 7 : - (3 x + 7)

= (x + 1) (- (3 x + 7))

Apply rule:

a (- b) = - ab

(x + 1) (- (3 x + 7)) = - (x + 1) (3 x + 7)

= - (x + 1) (3 x + 7)

lo g_{3} (9)

2 x^{2} + 1 x - 15

- 3 x + 7 = - 2

∣ 6 x - 3 ∣ \geq 30

x^{3} + 4 x^{2} + 9 x + 36

What is factor 4x(x+1)-7(x+1)^2 ?
The solution to factor 4x(x+1)-7(x+1)^2 is -(x+1)(3x+7)