What is factor 16m^2-25n^2 ?

The solution to factor 16m^2-25n^2 is (4m+5n)(4m-5n)

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factor 16m^2-25n^2

factor

16 m^{2} - 25 n^{2}

(4 m + 5 n) (4 m - 5 n)

Solution steps

16 m^{2} - 25 n^{2}

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

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

= (4 m)^{2} - (5 n)^{2}

Apply Difference of Two Squares Formula:

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

(4 m)^{2} - (5 n)^{2} = (4 m + 5 n) (4 m - 5 n)

= (4 m + 5 n) (4 m - 5 n)

75 x^{2} - 12

9^{- n} + 9^{n}

(- 2)^{0}

- \frac{3}{2 ( 1 ) ^{\frac{3}{2}}}

x^{2} - 34 x + 289 = 0

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