What is factor (x^2+x)^2-2x(x+1)-3 ?

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

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factor (x^2+x)^2-2x(x+1)-3

factor

(x^{2} + x)^{2} - 2 x (x + 1) - 3

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

Solution steps

(x^{2} + x)^{2} - 2 x (x + 1) - 3

(x^{2} + x)^{2} = x^{2} (x + 1)^{2}

= x^{2} (x + 1)^{2} - 2 x (x + 1) - 3

Rewrite

x^{2} (x + 1)^{2}

(x (x + 1))^{2}

= (x (x + 1))^{2} - 2 x (x + 1) - 3

Break the expression into groups

= ((x (x + 1))^{2} + x (x + 1)) + (- 3 x (x + 1) - 3)

Factor out

x (x + 1)

from

(x (x + 1))^{2} + x (x + 1) : x (x + 1) (x (x + 1) + 1)

Factor out

- 3

from

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

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

Factor out common term

x (x + 1) + 1

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

3 x y + yz - 18 x - 6 z

(x - 7) (x - 7)

v (- 4.4)

f (x) = - x^{12}

(1 - x)^{(1 - x)} \cdot x^{x} - D

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