What is factor 25x^4-16y^2 ?

The solution to factor 25x^4-16y^2 is (5x^2+4y)(5x^2-4y)

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factor 25x^4-16y^2

factor

25 x^{4} - 16 y^{2}

(5 x^{2} + 4 y) (5 x^{2} - 4 y)

Solution steps

25 x^{4} - 16 y^{2}

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

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

= (5 x^{2})^{2} - (4 y)^{2}

Apply Difference of Two Squares Formula:

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

(5 x^{2})^{2} - (4 y)^{2} = (5 x^{2} + 4 y) (5 x^{2} - 4 y)

= (5 x^{2} + 4 y) (5 x^{2} - 4 y)

\frac{x ^{5} + 7 x ^{3} - 8}{x - 1}

1 + lo g_{2} (40)

\frac{5}{3 \cdot 5}

4 x^{2} + 4 x + 1

- 7 2 x^{2} - 5 x 72

What is factor 25x^4-16y^2 ?
The solution to factor 25x^4-16y^2 is (5x^2+4y)(5x^2-4y)