Question

Which of the following is equivalent to (g + h) (p + q - r)?

Answer 1

Given the expression:

`\mleft(g+h\mright)(p+q-r)`

You need to expand it in order to find an equivalent expression.

It is important to remember the Sign Rules for Multiplication:

`\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ +\cdot-=- \\ -\cdot+=- \end{gathered}`

Now you have to apply the Distributive Property in order to expand the expression. You get:

`=(g)(p)+(g)(q)-(g)(r)+(h)(p)+(h)(q)-(h)(r)`
`=gp+gq-gr+hp+hq-hr`

Hence, the answer is: Last option.