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Popular >

factor n^{2x}-9

Solution

factor

n^{2 x} - 9

Solution

(n^{x} + 3) (n^{x} - 3)

Solution steps

n^{2 x} - 9

Apply exponent rule:

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

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

= (n^{x})^{2} - 9

Rewrite

9

as

3^{2}

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

Apply Difference of Two Squares Formula:

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

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

= (n^{x} + 3) (n^{x} - 3)

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Frequently Asked Questions (FAQ)

What is factor n^{2x}-9 ?
The solution to factor n^{2x}-9 is (n^x+3)(n^x-3)