Question

How to factorise 5h^2-12hg​

Answer 1

`h(5h-12g)`

Explanation:

`5h^2-12hg`

When we factor expressions, we look for factors within the terms that are alike, or in other words, we look for common factors. Here,
`5h^2` and
`12hg` only have one common factor:
`h`. Therefore, to factorize this expression, divide both terms by
`h`.

`= h((5h^2)/(h)-(12hg)/(h) )\\= h(5h-12g)`

Now, we've "carried"
`h` out of the expression and have therefore factored it.

I hope this helps!