Question

How to factorise 5h^2-12hg​

Answer 1

Answer:

$h(5h-12g)$

Step-by-step 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 $h$.

$= h(\frac{5h^2}{h}-\frac{12hg}{h} )\\= h(5h-12g)$

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

I hope this helps!