Question

The quotient of -8x^2y^3/xy is same as the product of 4xy and

Answer 1

The quotient of -8x^2y^3/xy is same as the product of 4xy and -2y.

Explanation:

First find the quotient:

`(-8x^(2) y^(3) )/(xy) \\=-8x^(2) y^(3) *x^(-1) y^(-1) \\=-8xy^(2)`

The quotient should be equal to 4xy times an unknown quantity. Set the unknown quantity equal to a:

`4xy*a=-8xy^(2) \\a=(-8xy^(2))/(4xy) \\a=-2xy^(2)*x^(-1) y^(-1) \\a=-2y`

Answer 2

we know that
The quotient of
-8x²y³/xy=-8xy²

then
the product of
(4xy)*z= -8xy²------> z=-8xy²/(4xy)-----> z=-2y

the answer is
-2y
so
The quotient of -8x²y³/xy is same as the product of (4xy)*(-2y)