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

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

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

factor

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

(x + 1) (x - 1) (3 x^{2} + 4)

Solution steps

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

Factor out common term

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

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

Factor

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

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

Expand

7 x^{2} - 4 (x^{2} - 1) : 3 x^{2} + 4

= (x + 1) (x - 1) (3 x^{2} + 4)

(32 - 23)^{2}

4 w^{2} + 3 w - 6 = 0

10 x^{2} - 29 x + 10 = 0

4 x^{2} + 16 x + 64

4 (x - 1) (x + 5) \leq 0

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