Answer:
8rs - 2r^2 + 16r
Step-by-step explanation:
To rewrite the expression −2r(−4s+r−8) using the distributive property, we need to distribute the −2r to each term inside the parentheses.
Let's break down the expression and distribute −2r to each term:
−2r(−4s+r−8) = −2r × (−4s) + −2r × r + −2r × (−8)
Using the distributive property, we multiply each term inside the parentheses by −2r:
−2r × (−4s) = 8rs
−2r × r = −2r^2
−2r × (−8) = 16r
Now we can rewrite the expression as:
8rs + (-2r^2) + 16r
So, using the distributive property, the expression −2r(−4s+r−8) can be rewritten as 8rs - 2r^2 + 16r.
