SOLUTION: this is the problem and I am having a hard time understanding it. x squared+5x+6 over x squared+8x/2x squared+5x+2 over 2x squared+x

Question 154162This question is from textbook Beginning Algebra
: this is the problem and I am having a hard time understanding it.
x squared+5x+6 over x squared+8x/2x squared+5x+2 over 2x squared+x This question is from textbook Beginning Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x squared+5x+6 over x squared+8x/2x squared+5x+2 over 2x squared+x
---------------------------
[(x^2 + 5x + 6)/(x^2 + 8x)] / [(2x^2 + 5x + 2)/(2x^2 + x)]
Factor where you can:
[(x+3)(x+2)/(x(x+8))] / [(2x+1)(x+2))/(x(2x+1))]
Invert the denominator and multiply:
[(x+3)(x+2)/(x(x+8))] * [(x(2x+1)/ (2x+1)(x+2))]
Cancel any factor that is common to a numerator and a denominator
such as x, (x+2) , (2x+1)
= [(x+3)/(x+8)] * [1/1]]
= (x+3)/(x+8)
=========================
Cheers,
Stan H.

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