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

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

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factor x^4-4y^4

factor

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

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

Solution steps

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

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

(4 x^{5} + x^{4} - 6 x^{2} + 12) - (7 x^{4} - 5 x^{2} - 4 x + 5)

\frac{2 ^{x + 3} + 2 ^{x + 4}}{2 ^{x + 5} - 2 ^{x + 2}}

3^{6} \cdot 5^{4}

lo g_{3} (108) - lo g_{3} (4)

\frac{4}{x + 2} + \frac{5}{x - 3}

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