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

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

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factor 25x^4-y^4

factor

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

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

Solution steps

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

25 x^{4} = (5 x^{2})^{2}

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

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

Apply Difference of Two Squares Formula:

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

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

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

2.3 \cdot 1 0^{5}

2.3 \cdot 1 0^{4}

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

\frac{25}{14}

(- 1)^{21}

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