Question

Remove the largest possible common factor check your answer by multiplication


`10x {}^(2) - 15x`


A.

`10x {}^(2)(5x - 3)`
B.

`5x(2x - 3)`
C.

`- 5x(2x + 3)`
D.

`5x(2x + 3)`
​

Answer 1

The greater common divisor between 10 and 15 is 5, so we can factor it out:

`10x^2-15x = 5(2x^2-3x)`

The greater common exponent between 1 and 2 is 1, so we can factor x out:

`10x^2-15x = 5x(2x-3)`