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

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

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

factor

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

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

Solution steps

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

Factor out common term

x^{2} - 4

= (x^{2} - 4) (x^{2} + 4 x + 4)

Factor

x^{2} - 4 : (x + 2) (x - 2)

Factor

x^{2} + 4 x + 4 : (x + 2)^{2}

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

Simplify

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

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

- 2 (x - 9) < - 12

k + 2 > 7

(x + 5)^{2} \leq (x + 4)^{2} + (x - 3)^{2}

x^{2} - 4 x - 25 > 20

2 x^{2} - 11 x = 0

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