Simplify: −4(2x+5)
(1 point)
Responses
(−4×2x)+(−4×5)
open paren negative 4 times 2 x close paren plus open paren negative 4 times 5 close paren
(−4−2x)+(−4−5)
open paren negative 4 minus 2 x close paren plus open paren negative 4 minus 5 close paren
(−4÷2x)+(−4÷5)
open paren negative 4 divided by 2 x close paren plus open paren negative 4 divided by 5 close paren
(−4+2x)×(−4+5)
The simplified expression is (−4)(2x) + (−4)(5).
Explanation: To simplify, we distribute the −4 to both terms inside the parentheses using the distributive property. This gives us: −4(2x) + −4(5).
We can further simplify −4(2x) to −8x and −4(5) to −20.
So, the simplified expression is −8x − 20.
To simplify the expression −4(2x+5), you can distribute -4 to each term inside the parentheses:
-4(2x+5) = -4(2x) + (-4)(5)
Simplifying further:
= -8x - 20
So, the simplified expression is -8x - 20.