Question

How do you factor `6xy+15x`?

Answer 1

`3x(2y+5)`

Explanation:

Both terms have the variable `x`,

`x(6y+15)`

Both terms can be factored by `3`,

`3x(2y+5)`

You can check if you factored correctly by multiplying through the brakctets,

`(3x*2y)+(3x+5)`

`=6xy+15x`

Answer 2

`3x(2y+5)`

Explanation:

Let's expand everything we can and then factor out common factors:
`6xy+15x`
`2*color(blue)(3)*color(green)(x)*y+color(blue)(3)*5*color(green)(x)`

There are `x`s in both values and a `3` for both. Let's factor those out:
`3*x(2*y+5)`
`3x(2y+5)`.

Just to make sure the new expression is still equal tothe old one, let's distribute the `3x` int `2y+5`. We should get `6xy+15x`

`3x(2y+5)`
`2y*3x+5*3x`
`6xy+15x`
Yep. it's still the same! Good job!