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

Answer 1

@Dhawal

Answer 2

@phi

Answer 3

did you factor the expressions?

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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