Question

which expression shows $16ab - 24a$ factored completely?
please put in the vode: v7xv

a $4a(4b - 6)$
b $8b(2a - 3)$
c $8a(2b - 3)$

Explanation:

Step1: Find the GCF of 16ab and 24a

The GCF of 16 and 24 is 8, and the common variable factor is \(a\), so GCF is \(8a\).

Step2: Factor out the GCF

Factor \(8a\) from \(16ab - 24a\): \(8a(2b - 3)\)
Check option a: \(4a(4b - 6)\), 4b - 6 can be factored further (GCF 2), so not completely factored.
Check option b: \(8b(2a - 3)\), the original terms have \(a\) as a common factor, not \(b\), so incorrect.
Check option c: \(8a(2b - 3)\), which is completely factored.

Answer:

c. 8a (2b - 3)