Answer::
[tex]=xy^2+2xy-12x+2y^2+4y-24[/tex]Explanation:
Given the expression:
[tex]\mleft(x+2\mright)\mleft(y^2+2y-12\mright)[/tex]First, distribute the left bracket:
[tex]=x\mleft(y^2+2y-12\mright)+2\mleft(y^2+2y-12\mright)[/tex]Next, open the bracket:
[tex]=xy^2+2xy-12x+2y^2+4y-24[/tex]