Question

1. rewrite and simplify the expression:

$-2(5x + 6y) - 3(5y - 2x)$
$-2(5x + 6y) - 3(5y - 2x) = $ enter your next step here

Explanation:

Step1: Distribute the coefficients

First, we distribute -2 into (5x + 6y) and -3 into (5y - 2x). Using the distributive property \(a(b + c)=ab+ac\), we get:
\(-2\times5x + (-2)\times6y - 3\times5y + (-3)\times(-2x)\)
Which simplifies to:
\(-10x - 12y - 15y + 6x\)

Step2: Combine like terms

Now, we combine the x - terms and the y - terms. For the x - terms: \(-10x+6x=-4x\). For the y - terms: \(-12y - 15y=-27y\).

Answer:

\(-4x - 27y\)