What is factor 25x^4-49y^2 ?

The solution to factor 25x^4-49y^2 is (5x^2+7y)(5x^2-7y)

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factor 25x^4-49y^2

factor

25 x^{4} - 49 y^{2}

(5 x^{2} + 7 y) (5 x^{2} - 7 y)

Solution steps

25 x^{4} - 49 y^{2}

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

49 y^{2} = (7 y)^{2}

= (5 x^{2})^{2} - (7 y)^{2}

Apply Difference of Two Squares Formula:

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

(5 x^{2})^{2} - (7 y)^{2} = (5 x^{2} + 7 y) (5 x^{2} - 7 y)

= (5 x^{2} + 7 y) (5 x^{2} - 7 y)

- i + i

5 \cdot 35

\frac{1}{1.6 \cdot 1 0 ^{- 19}}

6 + (- 9)

(x + 4)^{2} - (x + 3) (x + 5) - 4

What is factor 25x^4-49y^2 ?
The solution to factor 25x^4-49y^2 is (5x^2+7y)(5x^2-7y)