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Help please out due to medical issues trying to catch up

Help please out due to medical issues trying to catch up-example-1
User Clarybel
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1 Answer

5 votes

Answer:


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}

User Frans
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