Question

Factor 24k+36q−12 to identify the equivalent expressions.

Answer 1

The factored expression is 12(2k + 3q - 1)

Explanation:

To factor the expression, we identify the greatest common factor between 24, 36 and 12. Between the variables(k, q, and 1), there is no gcf, so no need to find.

GCF between 24, 36 and 12:

We factore these numbers simultaneously, while all of them can be factored by the same value. So

24 - 36 - 12|2

12 - 18 - 6|2

6 - 9 - 3|3

2 - 3 - 1

So gcf(24,36,12) = 2*2*3 = 12

Factored expression:

`12((24k)/(12) + (36q)/(12) - (12)/(12)) = 12(2k + 3q - 1)`

The factored expression is 12(2k + 3q - 1)