What is factor x^4-9y^2 ?

The solution to factor x^4-9y^2 is (x^2+3y)(x^2-3y)

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factor x^4-9y^2

factor

x^{4} - 9 y^{2}

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

Solution steps

x^{4} - 9 y^{2}

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

9 y^{2} = (3 y)^{2}

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

Apply Difference of Two Squares Formula:

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

(x^{2})^{2} - (3 y)^{2} = (x^{2} + 3 y) (x^{2} - 3 y)

= (x^{2} + 3 y) (x^{2} - 3 y)

72 - 32

(- 5) - (- 6)

(- 5) - (- 8)

(5 - 23) (5 + 23)

- \frac{11}{15} - \frac{7}{9}