Which expression is equivalent - 72x + 56

The equivalent expression is 8 (-9x + 7)

Solution:

Given that we have to write the equivalent expression

Given expression is:

-72x + 56

Let us write the equivalent expression by taking the greatest common factor out

When we find all the factors of two or more numbers, and some factors are the same, then the largest of those common factors is the Greatest Common Factor.

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Then the greatest common factor is 8

Thus factor out 8 from given expression

-72x + 56 = 8 (-9x + 7)

Thus the equivalent expression is 8 (-9x + 7)