Question

Trevor wrote the expression (72 + 36). Yang used the greatest common factor of those two numbers to write an equivalent expression. Which expression did Yang write?

7(6 + 12)
9(8 + 4)
3(21 + 28)
36(2 + 0)

Answer 1

Yang wrote the expression 7(6 + 12). Option A is answer.

Step-by-step explanation:

The greatest common factor (GCD) of 72 and 36 is 36. This means that 36 is the largest number that is a factor of both 72 and 36.

We can use the GCD to factor out the expression (72 + 36) as follows:

(72 + 36) = 36(2 + 1) = 36(2) + 36(1) = 72 + 36

Therefore, the equivalent expression that Yang wrote is 7(6 + 12). Option A is answer.