Question

Which expressions are equivalent to the expression 4a – 6b + 3c? a + 3(a − 2b + 3c) 4a + 3(2b + c) 2(2a − 3b + c) + c 2(2a − 3b) + 3c NextReset

Answer 1

It is D because (2)(2)=4 and (2)(3)= 6

Answer 2

2(2a − 3b + c) + c

2(2a − 3b) + 3c

Explanation:

Given expression is 4a - 6b + 3c

Now check with each option

a + 3(a − 2b + 3c)

Multiply 3 inside the parenthesis and combine like terms

a + 3a - 6b + 9c = 4a - 6b + 9c ( that is not our given expression)

4a + 3(2b + c)

Multiply 3 inside the parenthesis

4a + 6b + 3c (no negative sign)

2(2a − 3b + c) + c

Multiply 2 inside the parenthesis and combine like terms

4a - 6b +2c+c =4a - 6b + 3c (That is our given expression)

2(2a − 3b) + 3c

Multiply 2 inside the parenthesis and combine like terms

4a - 6b +3c (That is our given expression)