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3 years ago

Simplify 3/x²+14x+48 divided by 3/10x+60

Mathematics

2 answers:

stira [4]3 years ago

8 0

C. 10/x+8
The easy way to do it would be to take it one step at a time.

Alenkasestr [34]3 years ago

3 0

Answer with Step-by-step explanation:

3/x²+14x+48 divided by 3/10x+60 is equal to

$\dfrac{3/x^2+14x+48}{3/10x+60}$

= $\dfrac{3\times (10x+60)}{3\times (x^2+14x+48)}$

= $\dfrac{10x+60}{x^2+14x+48}$

$\dfrac{10x+60}{x^2+6x+8x+48}\\ \\=\dfrac{10x+60}{x(x+6)+8(x+6)}\\ \\=\dfrac{10(x+6)}{(x+6)(x+8)}\\ \\=\dfrac{10}{x+8}$

Hence, Correct option is:

C- 10/(x+8)

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