Question

Factor:

a^n + a^n+1 +a^n+2

Answer 1

`a^(n)`(1 + a + a²)

Explanation:

consider the rule of exponents

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

given
`a^(n)` +
`a^(n+1)` +
`a^(n+2)`

Take out the common factor
`a^(n)`

=
`a^(n)`(1 + a + a²)