Answer:
B. 2/x
Step-by-step explanation:
[tex]\frac{\frac{x^{2}}{x+2} }{\frac{x^{3}}{2x+4} } [/tex] Fraction is to divide
[tex]= \frac{x^{2}}{x+2} / \frac{x^{3}}{2x+4} [/tex] Dividing fraction is multiplying the second one flipped top/bottom
Cancel out the diagonals
[tex]= \frac{x^{2}}{x+2} X \frac{2x+4}{x^{3}}[/tex] Divide x² and x³ by x²
[tex]= \frac{1}{x+2} X \frac{2x+4}{x}[/tex] Factor out 2x+4
[tex]= \frac{1}{x+2} X \frac{2(x+2)}{x}[/tex] Divide x+2 and 2(x+2) by x+2
[tex]= \frac{1}{1} X \frac{2}{x}[/tex] 1/1 is the same as 1
[tex]= 1 X \frac{2}{x}[/tex] 1 times any number is the other number
[tex]= \frac{2}{x}[/tex]
The simplified fraction is 2/x.
