5 {}^(n + 1) + 5 {}^(n + 2) ​

Question

`5 {}^(n + 1) + 5 {}^(n + 2)`
​

Answer 1

Explanation:

there 5^(n+1) + 5^(n+2) = 5^n x 5^1 + 5^n x 5^2 breaking them as x^(a+b) = x^a x x^b

then taking common 5^n from both terms