Question

simplify ((3x^2 + 2y^2 - 5x + y) + (2x^2 - 2xy - 2y^2 - 5x + 3y)).
(5x^2 - 2xy + y^2 - 10x)
(5x^2 + y^2 - 10x)
(5x^2 - 2xy + y^2 + 4y)
(5x^2 - 2xy - 10x + 4y)
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.

Explanation:

Step1: Remove parentheses

$(3x^2 + 2y^2 - 5x + y) + (2x^2 - 2xy - 2y^2 - 5x + 3y) = 3x^2 + 2y^2 - 5x + y + 2x^2 - 2xy - 2y^2 - 5x + 3y$

Step2: Combine like $x^2$ terms

$3x^2 + 2x^2 + 2y^2 - 2y^2 - 2xy - 5x - 5x + y + 3y = 5x^2 + 2y^2 - 2y^2 - 2xy - 5x - 5x + y + 3y$

Step3: Combine like $y^2$ terms

$5x^2 + (2y^2 - 2y^2) - 2xy - 5x - 5x + y + 3y = 5x^2 - 2xy - 5x - 5x + y + 3y$

Step4: Combine like $x$ terms

$5x^2 - 2xy + (-5x - 5x) + y + 3y = 5x^2 - 2xy - 10x + y + 3y$

Step5: Combine like $y$ terms

$5x^2 - 2xy - 10x + (y + 3y) = 5x^2 - 2xy - 10x + 4y$

Answer:

$\boldsymbol{5x^2 - 2xy - 10x + 4y}$ (matches the last option)