What is factor 16m^2-9n^2 ?

The solution to factor 16m^2-9n^2 is (4m+3n)(4m-3n)

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factor 16m^2-9n^2

factor

16 m^{2} - 9 n^{2}

(4 m + 3 n) (4 m - 3 n)

Solution steps

16 m^{2} - 9 n^{2}

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

9 n^{2} = (3 n)^{2}

= (4 m)^{2} - (3 n)^{2}

Apply Difference of Two Squares Formula:

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

(4 m)^{2} - (3 n)^{2} = (4 m + 3 n) (4 m - 3 n)

= (4 m + 3 n) (4 m - 3 n)

\frac{3}{26}

8 x^{5}

10 \frac{7}{10}

11 \cdot 7