Question

1. $g(n) = n^2 - 2n$; find $g(n^2)$

Explanation:

Step1: Substitute $n^2$ for $n$

$g(n^2) = (n^2)^2 - 2(n^2)$

Step2: Simplify the exponents

$(n^2)^2 = n^{2 \times 2} = n^4$

Step3: Combine terms

$g(n^2) = n^4 - 2n^2$

Answer:

$g(n^2)=n^4 - 2n^2$