Question

use the distributive property to write equivalent expressions. use the distributive property to write an equivalent expression. -5(5 + 2y) = (□·□) + (□·□)

Explanation:

Step1: Apply distributive property

The distributive property states $a(b+c) = a\cdot b + a\cdot c$. For $-5(5+2y)$, we distribute $-5$ to each term inside the parentheses.
$$-5(5+2y) = (-5 \cdot 5) + (-5 \cdot 2y)$$

Step2: Calculate each product

Compute the products of the terms.
$$(-5 \cdot 5) = -25, \quad (-5 \cdot 2y) = -10y$$

Answer:

$(-5 \cdot 5) + (-5 \cdot 2y)$ or $-25 - 10y$