What is factor 4x^2-12x^2 ?

The solution to factor 4x^2-12x^2 is -4(1+sqrt(3))(sqrt(3)-1)x^2

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factor 4x^2-12x^2

factor

4 x^{2} - 12 x^{2}

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

Solution steps

4 x^{2} - 12 x^{2}

Rewrite

4 x^{2}

(2 x)^{2}

= (2 x)^{2} - 12 x^{2}

Rewrite

(2 x)^{2} - 12 x^{2}

(2 x)^{2} - (12 x)^{2}

= (2 x)^{2} - (12 x)^{2}

Apply Difference of Two Squares Formula:

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

(2 x)^{2} - (12 x)^{2} = (2 x + 12 x) (2 x - 12 x)

= (2 x + 12 x) (2 x - 12 x)

Refine

= (23 x + 2 x) (2 x - 23 x)

Factor

23 x + 2 x : 2 x (3 + 1)

= 2 (1 + 3) x (2 x - 23 x)

Factor

2 x - 23 x : - 2 x (3 - 1)

= - 2 x (3 + 1) \cdot 2 x (3 - 1)

Refine

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

Rewrite in standard form

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

3 x^{3} + 3 x^{2} - 2 x^{0.3}

f (x) = 7 x + 4

(4 x^{2} + 2 y) + (3 x + y^{2})

9 (x - 2)^{2} - 24 (x - 2) + 16

10 cos^{2} (x) + cos (x) - 11

What is factor 4x^2-12x^2 ?
The solution to factor 4x^2-12x^2 is -4(1+sqrt(3))(sqrt(3)-1)x^2