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

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

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factor x^4-4y^2

factor

x^{4} - 4 y^{2}

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

Solution steps

x^{4} - 4 y^{2}

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

4 y^{2} = (2 y)^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

10 x - x^{2} = 21

a c + a x + b c + b x

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

- x^{3} + 5 x^{2} - 8 x + 4

256 x^{4} - 81