Question

How do you simplify `\frac { 2x ^ { 3} + 9x ^ { 2} y + 4x y ^ { 2} } { x ^ { 2} + 4x y }`?

Answer 1

`2x+y`

Explanation:

Using that

# 2x^3+9x^2y+4xy^2=x(2x+y)(x+4y)#
and

`x^2+4xy=x(x+4y)`

we get after cancelling `x,x+4y`

we get the result above