Question

Help please out due to medical issues trying to catch up

Answer 1

`f(x)\cdot g(x)=x^3-2x^2-x+2`

Explanation:

Given f(x) and g(x) defined below:

`\begin{gathered} f(x)=x^2-1 \\ g(x)=x-2 \end{gathered}`

The combination of f(x) and g(x) is obtained below:

`f(x)\cdot g(x)=\lbrack x^2-1\rbrack\lbrack x-2\rbrack`

Next, expand the brackets and simplify:

`\begin{gathered} =x^2\lbrack x-2\rbrack-1\lbrack x-2\rbrack \\ =x^3-2x^2-x+2 \\ \implies f(x)\cdot g(x)=x^3-2x^2-x+2 \end{gathered}`