Question

show steps to simpliying this ratio:

x^2+8x / x^2+10x+16

Answer 1

\[\Large \frac{x^2+8x}{x^2+10x+16}\]



\[\Large \frac{x(x+8)}{x^2+10x+16}\]



\[\Large \frac{x(x+8)}{(x+8)(x+2)}\]



\[\Large \frac{x\cancel{(x+8)}}{\cancel{(x+8)}(x+2)}\]



\[\Large \frac{x}{x+2}\]



So \[\Large \frac{x^2+8x}{x^2+10x+16}=\frac{x}{x+2}\]