Question

2 Is each expression equivalent to the expression 48a - 36b? Select Yes or No for each expression. Yes No a. 30(180 - 66) (0) O b. 12a +36(a - b) O c. 12(3a + a - 36) O d. 4(10a + 2a - 96)

Answer 1

We will determine if they are equivalent or not as follows:

a.

`30(18a-6b)=540a-180b`
`\begin{cases}(540)/(48)=(45)/(4) \\ (180)/(36)=5\end{cases}`

We can see that they are not a factor from the expression given, so NO.

b.

`12a+36(a-b)=12a+36a-36b=48a-36b`

When we expand we can see that they are equivalent.

c.

`12(3a+a-3b)=12(4a-3b)=48a-36b`

When we expand we can see that they are equivalent.

d.

`4(10a+2a-9b)=4(12a-9b)=48a-36b`

When we expand we can see that they are equivalent.