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

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

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factor 4x^2-25y^2

factor

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

(2 x + 5 y) (2 x - 5 y)

Solution steps

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

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

25 y^{2} = (5 y)^{2}

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

Apply Difference of Two Squares Formula:

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

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

= (2 x + 5 y) (2 x - 5 y)

2 x^{2} - 25 x + 12

- \frac{9}{4} + 2

x^{3} - 36 x

9 \cdot 3

\frac{4}{5} \cdot \frac{2}{3}