Expand −4(2x + 5)

Question

.(1 point)
Responses

−8x + 20
negative 8 x plus 20

−8x − 20
negative 8 x minus 20

8x + 20
8 x plus 20

8x − 20
8 x minus 20

Answer 1

To expand the expression −4(2x + 5), you need to use the distributive property of multiplication over addition, which states that:

a(b + c) = ab + ac

Applying the distributive property to the given expression, we get:

−4(2x + 5) = (−4)(2x) + (−4)(5)
= −8x + (−20)
= −8x − 20

Therefore, the expanded expression is:

−8x − 20
negative 8 x minus 20