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Popular >

factor 6^x-3^{2x}

Solution

factor

6^{x} - 3^{2 x}

Solution

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

Solution steps

6^{x} - 3^{2 x}

6 = 2 \cdot 3

= (2 \cdot 3)^{x} - 3^{2 x}

Apply exponent rule:

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

= 2^{x} \cdot 3^{x} - 3^{2 x}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

3^{2 x} = 3^{x} \cdot 3^{x}

= 2^{x} \cdot 3^{x} - 3^{x} \cdot 3^{x}

Factor out common term

3^{x}

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

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Frequently Asked Questions (FAQ)

What is factor 6^x-3^{2x} ?
The solution to factor 6^x-3^{2x} is 3^x(2^x-3^x)