Question

How do you simplify `(x^2 + 8x + 15) /( x - 4) * (x^2 - 16) /( 2x + 6)`?

Answer 1

I found: `1/2(x+5)(x+4)`

Explanation:

You can factorize most of your terms to get:
`((x+3)(x+5))/(x-4)*((x+4)(x-4))/(2(x+3))=`
simplifying:
`=(cancel((x+3))(x+5))/cancel((x-4))((x+4)cancel((x-4)))/(2cancel((x+3)))=`
Finally:
`=1/2(x+5)(x+4)`