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 ?A 3y times the quantity 2x plus 1 over x times the quantity x plus 2B x times the quantity x plus 2 over 3y times the quantity 2x plus 1C x times the quantity x minus 2 over 3y times the quantity 2x minus 1D 3y times the quantity 2x minus 1 over x times the quantity x minus 2

Answer:A. 3y times the quantity 2x plus 1 over x times the quantity x plus 2Step-by-step explanation:We have; 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 That is;15xy²/(x² + 5x +6) ÷ ((5x²y/(2x²+7x+3))We can factorize expressions;x² + 5x +6 = (x+2)(x+3) 2x²+7x+3  =(2x+1)(x+3)Therefore we have;15xy²/(x+2)(x+3) ÷ (5x²y/(2x+1)(x+3))we can multiply with the reciprocal;15xy²/(x+2)(x+3) × ((2x+1)(x+3))/5x²ySimplifying;3y/(x+2) × (2x+1)/xMultiplying the numerators and then multiplying the denominators.We get; 3y(2x+1)/ x(x+2)= 3y(2x+1)/ x(x+2)The answer is therefore;A 3y times the quantity 2x plus 1 over x times the quantity x plus 2