What is factor 3^{2m+2}-3^{m+1}-30 ?

The solution to factor 3^{2m+2}-3^{m+1}-30 is 3(3^{1+2m}-3^m-10)

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factor 3^{2m+2}-3^{m+1}-30

factor

3^{2 m + 2} - 3^{m + 1} - 30

3 (3^{1 + 2 m} - 3^{m} - 10)

Solution steps

3^{2 m + 2} - 3^{m + 1} - 30

Apply exponent rule:

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

= 3^{2} \cdot 3^{2 m} - 3^{1} \cdot 3^{m} - 30

Rewrite as

= 3 \cdot 3 \cdot 3^{2 m} - 3 \cdot 3^{m} - 3 \cdot 10

Factor out common term

3

= 3 (3 \cdot 3^{2 m} - 3^{m} - 10)

Refine

= 3 (3^{2 m + 1} - 3^{m} - 10)

\frac{e ^{6} - 1}{2}

x^{2} + 2 + 7 x - 44

162

p^{1} - 27 q^{3}

x^{3} + 1 - x^{2} + 1

What is factor 3^{2m+2}-3^{m+1}-30 ?
The solution to factor 3^{2m+2}-3^{m+1}-30 is 3(3^{1+2m}-3^m-10)