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

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

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factor 25x^2-4y^2

factor

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

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

Solution steps

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

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

4 x^{2} \cdot x^{\frac{1}{2}}

x^{2} - 4 x + 4 = 9

X^{2} < 1

y^{3} \cdot y^{3}

(b^{3})^{2}