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)

(5 + x)^{3} + 3 x - 125

\frac{a ^{- 2} b ^{- 3}}{c ^{- 9}}

- 5 x + 6 \leq 16

(- 3 + 5 i) - (7 + 9 i)

- 8 - \frac{1}{3} n \leq - 25