What is factor 8x^2-4x^2 ?

The solution to factor 8x^2-4x^2 is 4(1+sqrt(2))(sqrt(2)-1)x^2

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factor 8x^2-4x^2

factor

8 x^{2} - 4 x^{2}

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

Solution steps

8 x^{2} - 4 x^{2}

Rewrite

4 x^{2}

(2 x)^{2}

= 8 x^{2} - (2 x)^{2}

Rewrite

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

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

= (8 x)^{2} - (2 x)^{2}

Apply Difference of Two Squares Formula:

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

(8 x)^{2} - (2 x)^{2} = (8 x + 2 x) (8 x - 2 x)

= (8 x + 2 x) (8 x - 2 x)

Refine

= (22 x + 2 x) (22 x - 2 x)

Factor

22 x + 2 x : 2 x (2 + 1)

= 2 (1 + 2) x (22 x - 2 x)

Factor

22 x - 2 x : 2 x (2 - 1)

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

Refine

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

Rewrite in standard form

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

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

ab c + ab + c + 1

4 e^{4} ln (5) - e^{4}

x^{2} - 20 + 96

\frac{x}{x ^{2} - 49}

What is factor 8x^2-4x^2 ?
The solution to factor 8x^2-4x^2 is 4(1+sqrt(2))(sqrt(2)-1)x^2