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

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

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.

Answer 2

Answer:

To summarize the paragraphs above, the answer is C.

Step-by-step explanation: