Question

which expression shows the sum of the polynomials with like terms grouped together?
$10x^{2}y+2xy^{2}-4x^{2}-4x^{2}y$
$\boldsymbol{circ} (-4x^{2})+(-4x^{2}y)+10x^{2}y+2xy^{2}$
$\boldsymbol{circ} 10x^{2}y+2xy^{2}+(-4x^{2})+(-4x^{2}y)$
$\boldsymbol{circ} (-4x^{2})+2xy^{2}+10x^{2}y+(-4x^{2}y)$
$\boldsymbol{circ} 10x^{2}y+2xy^{2}+(-4x^{2}y)+(-4x^{2})$

Explanation:

Step1: Identify like terms

Like terms: $10x^2y$ and $-4x^2y$; $2xy^2$ (no like terms); $-4x^2$ (no like terms)

Step2: Match grouped like terms

Find option grouping $10x^2y$ and $-4x^2y$ together.

Answer:

$\boldsymbol{(-4x^2)+2xy^2+[10x^2y+(-4x^2y)]}$