Given the expression:
[tex]\mleft(g+h\mright)(p+q-r)[/tex]
You need to expand it in order to find an equivalent expression.
It is important to remember the Sign Rules for Multiplication:
[tex]\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ +\cdot-=- \\ -\cdot+=- \end{gathered}[/tex]
Now you have to apply the Distributive Property in order to expand the expression. You get:
[tex]=(g)(p)+(g)(q)-(g)(r)+(h)(p)+(h)(q)-(h)(r)[/tex][tex]=gp+gq-gr+hp+hq-hr[/tex]
Hence, the answer is: Last option.
