What is factor 9m^2-100n^2 ?

The solution to factor 9m^2-100n^2 is (3m+10n)(3m-10n)

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factor 9m^2-100n^2

factor

9 m^{2} - 100 n^{2}

(3 m + 10 n) (3 m - 10 n)

Solution steps

9 m^{2} - 100 n^{2}

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

100 n^{2} = (10 n)^{2}

= (3 m)^{2} - (10 n)^{2}

Apply Difference of Two Squares Formula:

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

(3 m)^{2} - (10 n)^{2} = (3 m + 10 n) (3 m - 10 n)

= (3 m + 10 n) (3 m - 10 n)

(p - 3)^{2} + 5 (p - 2)

2.5 x^{3} y^{2} - 1.8 x^{3} y^{2}

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

x^{2} - x y + x - x \cdot y^{2} + y^{3} - y^{2}

(\frac{x}{2 + 4 y})^{2}

What is factor 9m^2-100n^2 ?
The solution to factor 9m^2-100n^2 is (3m+10n)(3m-10n)