Question

Factorise fully p^3 + p^2

Answer 1

`\huge\boxed{p^3+p^2=p^2(p+1)}`

Explanation:

`p^3+p^2\\\\p^3=p^(2+1)=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)`

Used:

`a^n\cdot a^m=a^(n+m)\\\\\text{distributive property}:\ a(b+c)=ab+ac`