Question

Choose the appropriate pattern and use it to find the product: (p−3)(p+3).

Answer 1

We have to mutliply two algebraic expression. We will use the distributive property to multiply. A form of the distributive property is shown below:

`(a+b)(c+d)=a(c)+a(d)+b(c)+b(d)`

Basically we take the first term of the first factor and multiply it with the two terms of the second factor.

Next, we take the second term of the first factor and multiply it with the two term of the second factor.

The multiplication process is outlined below:

`\begin{gathered} (p-3)(p+3) \\ =p(p)+p(3)-3(p)-3(3) \\ =p^2+3p-3p-9 \end{gathered}`

We see that "3p" and "-3p" will cancel out. So, the product is >>>>

`\begin{gathered} p^2+3p-3p-9 \\ =p^2-9 \end{gathered}`Answer
`p^2-9`