Question

Which of the following expressions is equivalent to 45 -105x? Select all that apply. A. 15(3-7x) B. 5(9 - 21x) C. 15(5 - 21x) OD. 3(15 - 105x) E. 9(5- 21x)

Answer 1

The given expression is,

`45-105x`

The factors of 45 are 1,3,5,9,15,45

The factors of 105 are 1,3,5,7,15,21,35,105.

Thus, we can infer that 15 is the greatest common factor, therefore, we can write,

`45-105x=15(3-7x)`

Also, 5 is a common factor, therefore, we can write,

`45-105x=5(9-21x)`

Thus, A and B are correct.