What is factor 6b^{2n+1}+5b^{n+1}-6b ?

The solution to factor 6b^{2n+1}+5b^{n+1}-6b is b(6b^{2n}+5b^n-6)

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factor 6b^{2n+1}+5b^{n+1}-6b

factor

6 b^{2 n + 1} + 5 b^{n + 1} - 6 b

b (6 b^{2 n} + 5 b^{n} - 6)

Solution steps

6 b^{2 n + 1} + 5 b^{n + 1} - 6 b

Apply exponent rule:

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

b^{2 n + 1} = b^{2 n} b

= 6 b^{2 n} b + 5 b^{n + 1} - 6 b

Apply exponent rule:

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

b^{n + 1} = b^{n} b

= 6 b^{2 n} b + 5 b^{n} b - 6 b

Factor out common term

b

= b (6 b^{2 n} + 5 b^{n} - 6)

3 p^{2} + 14 p + 8

4 x^{2} + 20 x + 25

\frac{2}{x + 2} \geq \frac{1}{x - 3}

0 = 3 x^{2} - 3

(x^{2})^{\frac{2}{5}}

What is factor 6b^{2n+1}+5b^{n+1}-6b ?
The solution to factor 6b^{2n+1}+5b^{n+1}-6b is b(6b^{2n}+5b^n-6)