Answer with Step-by-step explanation:
3/x²+14x+48 divided by 3/10x+60 is equal to
[tex]\dfrac{3/x^2+14x+48}{3/10x+60}[/tex]
=[tex]\dfrac{3\times (10x+60)}{3\times (x^2+14x+48)}[/tex]
=[tex]\dfrac{10x+60}{x^2+14x+48}[/tex]
=
[tex]\dfrac{10x+60}{x^2+6x+8x+48}\\ \\=\dfrac{10x+60}{x(x+6)+8(x+6)}\\ \\=\dfrac{10(x+6)}{(x+6)(x+8)}\\ \\=\dfrac{10}{x+8}[/tex]
Hence, Correct option is:
C- 10/(x+8)
