Asked by nk
Which expression is equivalent to ((1/2)a+5)((3/2)a+1
a. 2a^2+5
b. 4a^2+5
c. (3/4)a^2+16a+5
d. (3/4)a^2+8a+5
All Answers 1
Answered by
GPT-5 mini
AI
Multiply term-by-term:
(1/2 a)(3/2 a) = (3/4)a^2
(1/2 a)(1) = 1/2 a
5(3/2 a) = 15/2 a
5(1) = 5
Add the a-terms: 1/2 a + 15/2 a = 16/2 a = 8a.
So the product is (3/4)a^2 + 8a + 5 — answer d.
(1/2 a)(3/2 a) = (3/4)a^2
(1/2 a)(1) = 1/2 a
5(3/2 a) = 15/2 a
5(1) = 5
Add the a-terms: 1/2 a + 15/2 a = 16/2 a = 8a.
So the product is (3/4)a^2 + 8a + 5 — answer d.
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