Question

How do you factor `10m ^ { 2} + 80m`?

Answer 1

`color(red)(10m(m+8))`

Explanation:

1) Factor out what both have, in this instance they both have 'm' and both are a multiple of 10, so therefore you put this on the outside of the bracket:

`color(orange)(10m(...+...))`

2) Figure out what to put inside the bracket, (what does `10m` need to multiply by to give `10m^2` and `80m`). Figuring this out the result gets us:

`color(red)(10m(m+8))`

As:

`color(blue)(10m*m=10m^2)`
`color(blue)(10m*8=80m)`

Therefore it works and the finished factorisation is:

`color(red)(10m(m+8))`