According to the given data we have the following polynomial expression:
(5xy^2 + 3x^2 – 7) + (3x^2y^2 – xy^2 + 3y^2 + 4)
To find out which expression is equivalent to the one above, we woule have to make the following calculation:
First:
[tex]\mathrm{Remove\: parentheses}\colon\quad \mleft(a\mright)=a[/tex][tex]=5xy^2+3x^2-7+3x^2y^2-xy^2+3y^2+4[/tex]Next, group like terms:
[tex]=3x^2y^2+3x^2+5xy^2-xy^2+3y^2-7+4[/tex]Next, add similar elements:
[tex]3x^2y^2+3x^2+4xy^2+3y^2-7+4[/tex][tex]\mathrm{Add/Subtract\: the\: numbers\colon}\: -7+4=-3[/tex]So we would get the following equivalent expression:
[tex]=3x^2y^2+3x^2+4xy^2+3y^2-3[/tex]Therefore, the right option would be A.
