What is the simplified form of the quantity 15 x y squared over x squared plus 5x plus 6 all over the quantity 5 x squared y over 2x squared plus 7x plus 3?

Answer 1

((15xy2)/(x2+5x+6))/((5x2y)/(2x2+7x+3))

=(15xy2/5x2y)*(2x2+7x+3)/(x2+5x+6)

=(3y/x)*(((2x+1)(x+3))/((x+2)(x+3)

=(3y(2x+1))/(x(x+2))

=(6xy+3y)/(x2+2x)