Question

which expression shows the sum of the polynomials with like terms grouped together?
10x²y + 2xy² - 4x² - 4x²y
(-4x²) + (-4x²y) + 10x²y + 2xy²
10x²y + 2xy² + (-4x²) + (-4x²y)
(-4x²) + 2xy² + 10x²y + (-4x²y)
10x²y + 2xy² + (-4x²y) + (-4x²)

Explanation:

Step1: Identify like terms

Like terms are $10x^2y$ and $-4x^2y$; $2xy^2$ has no like terms; $-4x^2$ has no like terms.

Step2: Match to correct grouping

We need to group $10x^2y$ and $-4x^2y$ together, while keeping $-4x^2$ and $2xy^2$ as separate ungrouped or correctly placed terms.

Answer:

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