Question

10q - 30 is equivalent to _____. 3(q - 10) 10(q - 30) 10(q - 3)

Answer 1

10q - 30 = 10 · q - 10 · 3 = 10(q - 3)

Answer 2

`10(q-3)`

Last option is correct.

Explanation:

We have been given the expression
`10q-30`

The greatest common factor or GCF of the given expression is 10.

Hence, we factored out 10. When we factored out 10, we have to divide all the terms by 10.

`10((10q)/(10)-(30)/(10))`

On simplifying, we get

`10(q-3)`

Therefore, the expression
`10q-30` is equivalent to
`10(q-3)`

Last option is correct.