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

The solution to factor 2x^2(x+1)^2-x^2(x+1)^3(x-3) is x^2(x+1)^2(-x^2+2x+5)

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

factor

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

x^{2} (x + 1)^{2} (- x^{2} + 2 x + 5)

Solution steps

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

Factor out common term

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

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

Expand

2 - (x + 1) (x - 3) : - x^{2} + 2 x + 5

= x^{2} (x + 1)^{2} (- x^{2} + 2 x + 5)

(- 27)^{\frac{5}{3}}

(4)^{\frac{1}{2}}

2 x^{3} - 9 x^{2} + 7 x + 6

6 x^{2} - 5 x + 1

25 m^{100} - 12 1^{16}

What is factor 2x^2(x+1)^2-x^2(x+1)^3(x-3) ?
The solution to factor 2x^2(x+1)^2-x^2(x+1)^3(x-3) is x^2(x+1)^2(-x^2+2x+5)