What is the simplified form of
(x^2+5x+6)/(15xy^2)/(2x^2+7x+3)/(5x^2y)
I got x(x-2)/3y(2x-y) for my answer

Question

What is the simplified form of 
(x^2+5x+6)/(15xy^2)/(2x^2+7x+3)/(5x^2y)
I got x(x-2)/3y(2x-y) for my answer

anonymous · Answer

@Dhawal

anonymous · Answer

@phi

phi · Answer

did you factor the expressions?

anonymous · Answer

i tried to but i dont know if i did it correctly

phi · Answer

if you can you should use the equation editor, because these are hard to read
after "flipping" and multiplying you have
$$ \frac{(x^2+5x+6}{(15xy^2)} \frac{(5x^2y)} {(2x^2+7x+3)}$$

phi · Answer

notice you can simplify the "easy part"
$$ \frac{5x^2y}{15xy^2} = \frac{x}{3y}$$

phi · Answer

x^2+5x+6 factors into (x+2)(x+3)
2x^2+7x+3 factors into (2x+ 1  )(x+3)
the (x+3) will cancel leaving
(x+2)/(2x+1)

you get as a final answer
$$ \frac{x(x+2)}{3y(2x+1)} $$
which is not what you posted as an answer