Question

Which expression is equivalent to 24 b minus 34 a b?

4 b (6 minus 8 a)
4 b (6 b minus 8 a b)
2 b (12 minus 17 a)
2 b (12 minus 17 a b)

Answer 1

To summarize the paragraphs above, the answer is C.

Step-by-step explanation:

Answer 2

Option C :
`2b(12-17a)` is the expression equivalent to
`24b-34ab`

Step-by-step explanation:

The expression is
`24b-34ab`

Let us determine the expression which is equivalent to
`24b-34ab` from the options.

Option A :
`4b(6-8a)`

Multiplying the terms, within the bracket, we have,

`4b(6-8a)=24b-32ab`

Since, the value
`$24 b-32 a b$` is not equivalent to the expression
`24b-34ab`

Option A is not the correct answer.

Option B :
`4b(6b-8ab)`

Multiplying, we have,

`4b(6b-8ab)=24b^2-32ab^2`

Since, the value
`$24 b^(2)-32 a b^(2)$` is not equivalent to the expression
`24b-34ab`

Option B is not the correct answer.

Option C :
`2b(12-17a)`

Multiplying, we have,

`2b(12-17a)=24b-34ab`

Since, the value
`24b-34ab` is equivalent to the expression
`24b-34ab`

Option C is the correct answer.

Option D :
`2b(12-17ab)`

Multiplying, we have,

`2b(12-17ab)=24b+34ab^2`

Since, the value
`$24 b+34 a b^(2)$` is not equivalent to the expression
`24b-34ab`

Option D is not the correct answer.