Question

Which expressions are equivalent to 36x + 12? 

Answer 1

B, C, and E.

Explanation:

36x + 12

A. 4(9x) = 36x, does not work; missing the 12.

B. 3(12x + 4) = 36x + 12, works.

C. 6(6x + 2) = 36x + 12, works.

D. 6x(6x + 2) = 36x^2 + 12x, does not work; both terms have an extra x multiplied to them

E. 4(9x + 3) = 36x + 12, works.

Answer 2

36x + 12

= 3(12x + 4)

= 6(6x + 2)

= 4(9x + 3)

3(12x + 4), 6(6x + 2), and 4(9x + 3) are equivalent to 36x + 12.