What is factor x^4-25y^2 ?

The solution to factor x^4-25y^2 is (x^2+5y)(x^2-5y)

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factor x^4-25y^2

factor

x^{4} - 25 y^{2}

(x^{2} + 5 y) (x^{2} - 5 y)

Solution steps

x^{4} - 25 y^{2}

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

25 y^{2} = (5 y)^{2}

= (x^{2})^{2} - (5 y)^{2}

Apply Difference of Two Squares Formula:

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

(x^{2})^{2} - (5 y)^{2} = (x^{2} + 5 y) (x^{2} - 5 y)

= (x^{2} + 5 y) (x^{2} - 5 y)

\frac{39}{9}

1^{2} + x^{2}

\frac{( 2 x + 5 ) - 5}{2}

(- 1)^{20}

(- 1)^{13}