Question

factor by grouping.
6ax − 4x − 9a + 6
(?x − 3)( a − )

Explanation:

Step1: Group the terms

Group the first two terms and the last two terms: $(6ax - 4x)+(-9a + 6)$

Step2: Factor out GCF from each group

Factor out $2x$ from the first group: $2x(3a - 2)$
Factor out $-3$ from the second group: $-3(3a - 2)$

Step3: Factor out the common binomial factor

Now we have $2x(3a - 2)-3(3a - 2)$, factor out $(3a - 2)$: $(2x - 3)(3a - 2)$

Answer:

The first box is $2$, the second box is $3$, and the third box is $2$. So the factored form is $(2x - 3)(3a - 2)$.