Question

1. Divide. Assume the denominator does not equal zero.

12x²y - 6xy + 4x²/2xy

2. Factor completely
2x²y + 12xy + 18y

Answer 1

Q1. The answer is
`6x-3+ (x)/(y) + (2x)/(y)`


`(12 x^(2) y-6xy+4 x^(2) )/(2xy) = (12 x^(2)y)/(2xy) -(6xy)/(2xy) +(4x^(2))/(2xy) =6x-3+ (x)/(y) + (2x)/(y)`

Q2. The answer is
`2y(x+2)^(2)`


`2 x^(2) y + 12xy + 18y \\ =2( x^(2) y + 6xy + 9y) \\ =2y( x^(2) +6x+9) \\ =2y( x^(2) +2*x*3+ 3^(2) ) \\ =2y(x+2)^(2)`