Answer:
[tex]h(5h-12g)[/tex]
Step-by-step explanation:
[tex]5h^2-12hg[/tex]
When we factor expressions, we look for factors within the terms that are alike, or in other words, we look for common factors. Here, [tex]5h^2[/tex] and [tex]12hg[/tex] only have one common factor: [tex]h[/tex]. Therefore, to factorize this expression, divide both terms by [tex]h[/tex].
[tex]= h(\frac{5h^2}{h}-\frac{12hg}{h} )\\= h(5h-12g)[/tex]
Now, we've "carried" [tex]h[/tex] out of the expression and have therefore factored it.
I hope this helps!
