Question

Place the indicated product in the proper location on the grid. 3a^n(a^n + a^n-1) =

Answer 1

`\large\boxed{3a^n(a^n+a^(n-1))=3a^(2n)+3a^(2n-1)}`

Explanation:

`3a^n(a^n+a^(n-1))\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3a^n)(a^n)+(3a^n)(a^(n-1))\qquad\text{use}\ x^n\cdot x^m=x^(n+m)\\\\=3a^(n+n)+3a^(n+n-1)\\\\=3a^(2n)+3a^(2n-1)`