What is factor 3a^{x+3}-a^{x+2}+a ?

The solution to factor 3a^{x+3}-a^{x+2}+a is a(3a^{x+2}-a^{x+1}+1)

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factor 3a^{x+3}-a^{x+2}+a

factor

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

a (3 a^{x + 2} - a^{x + 1} + 1)

Solution steps

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

Apply exponent rule:

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

a^{x + 3} = a^{x} a^{3}

= 3 a^{x} a^{3} - a^{x + 2} + a

Apply exponent rule:

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

a^{x + 2} = a^{x} a^{2}

= 3 a^{x} a^{3} - a^{x} a^{2} + a

Factor out common term

a : a (3 a^{x} a^{2} - a^{x} a + 1)

= a (3 a^{x} a^{2} - a^{x} a + 1)

Simplify

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

= a (3 a^{x + 2} - a^{x + 1} + 1)

\frac{( - x ) ^{8}}{( - x ) ^{2}}

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(\frac{x ^{2} + 1}{x ^{2} + 2})^{4}

1 - (3 x^{15}) + 67

\frac{p ^{4}}{q} - \frac{q ^{2}}{p ^{2}}

What is factor 3a^{x+3}-a^{x+2}+a ?
The solution to factor 3a^{x+3}-a^{x+2}+a is a(3a^{x+2}-a^{x+1}+1)