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

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

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factor 25y^4-x^2

factor

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

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

Solution steps

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

Simplify

25 y^{4} : (5 y^{2})^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

12 = 16

1 - \frac{2 x - 1}{2} = \frac{x + 2}{5}

\frac{- 40}{5}

x^{3} - x^{2} - 7 x + 3

2 4^{\frac{- 2}{3}}