What is factor 100m^2-n^{2x} ?

The solution to factor 100m^2-n^{2x} is (10m+n^x)(10m-n^x)

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factor 100m^2-n^{2x}

factor

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

(10 m + n^{x}) (10 m - n^{x})

Solution steps

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

Apply exponent rule:

a^{b c} = (a^{b})^{c}

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

= 100 m^{2} - (n^{x})^{2}

Rewrite

100 m^{2} - (n^{x})^{2}

(10 m)^{2} - (n^{x})^{2}

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

Apply Difference of Two Squares Formula:

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

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

= (10 m + n^{x}) (10 m - n^{x})

81 x^{2} - 25 x^{2}

8 (x - 5)^{2} + 14 (x - 5) - 15

[(2 y - t) + 3]^{2}

\frac{x ^{2} - 1}{x ^{2} + x}

a y - 2 b y + 2 a x - 4 b x

What is factor 100m^2-n^{2x} ?
The solution to factor 100m^2-n^{2x} is (10m+n^x)(10m-n^x)