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ctions: simplify the following expressions. $-4y(5y - 11) - 2y(3y + 10)$

Question

ctions: simplify the following expressions.
$-4y(5y - 11) - 2y(3y + 10)$

Explanation:

Step1: Distribute terms in parentheses

$$\begin{align*} -4y(5y-11)-2y(3y+10) &= (-4y \cdot 5y) + (-4y \cdot -11) + (-2y \cdot 3y) + (-2y \cdot 10) \\ &= -20y^2 + 44y - 6y^2 - 20y \end{align*}$$

Step2: Combine like $y^2$ terms

$-20y^2 -6y^2 +44y -20y = -26y^2 +44y -20y$

Step3: Combine like $y$ terms

$-26y^2 + (44y -20y) = -26y^2 +24y$

Answer:

$-26y^2 + 24y$