Which expression is equivalent to 24b - 34ab? (A) 4b(6 - 8a) (B) 4b(6b - 8ab) (C) 2b(12 - 17a) (D) 2b(12 - 17ab)

To solve the problem of finding an equivalent expression to 24b - 34ab , we need to factor out the greatest common factor from the terms.
The expression 24b - 34ab contains two terms:

24b
-34ab

We first identify the common factor in both terms. Both terms have a factor of 2b :

24b can be expressed as 2b \times 12
-34ab can be expressed as 2b \times (-17a)

Now, factor the 2b out of the expression:
2 b ( 12 − 17 a )
Therefore, the expression 2b(12 - 17a) is equivalent to 24b - 34ab .
So, the correct choice is (C) 2b(12 - 17a) .

Answered by EmmaGraceJohnson | 2025-07-21