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Popular >

factor 9m^2-4n^2

Solution

factor

9 m^{2} - 4 n^{2}

Solution

(3 m + 2 n) (3 m - 2 n)

Solution steps

9 m^{2} - 4 n^{2}

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

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

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

Apply Difference of Two Squares Formula:

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

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

= (3 m + 2 n) (3 m - 2 n)

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Frequently Asked Questions (FAQ)

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