how do I solve x^2+8x all over x^2+10x+16 and put it in simplified form.

Question

how do I solve  x^2+8x all over x^2+10x+16 and put it in simplified form.

agent0smith · Answer

First step: factor out an x on the top$$\Large \frac{  x^2+8x }{  x^2+10x+16  } = \frac{x(x+8) }{  x^2+10x+16  }$$
Now try to factor the bottom

anonymous · Answer

ok would the bottom be x(x+10)16

anonymous · Answer

no

anonymous · Answer

ok why did you do x+8 divide x+8)(x+2 instead of doing the gcf  x+4)(x+2

anonymous · Answer

about x2+8x agent0smith did the job and replace it by  x(x+8) , next x2+10x+16 is a quadratic equation , after calculating delta we got two solutions x1=-2 and x2=-8 ,we can factorize the quadratic equation like this (x-x1)(x-x2) since -2 and -8 are negative so it's (x+2)(x+8), then we will get  x(x+8) /(x+2)(x+8) so we will subtract by x+8 ,we have x/x+2 the correct answer

anonymous · Answer

ok thank you guys