Question

Simplify and determine the coefficient of (-2/3x)(3y)(-2x)

Answer 1

`(-(2)/(3)x)(3y)(-2x) =\\\\ (-2xy)(-2x) =\\\\\boxed{\bf{4x^2y}}`

The coefficient is 4.

Answer 2

The coefficient of give expression is 4.

Explanation:

The given expression is

`(-(2)/(3x))(3y)(-2x)`

It can be written as

`(-(2)/(3x))(3y)(-2x)=(-2* 3y* (-2x))/(3x)`

`(-(2)/(3x))(3y)(-2x)=(12xy)/(3x)`

Now cancel out the common factors.

`(-(2)/(3x))(3y)(-2x)=4y`

The simplified form of the given expression is 4y.

Therefore the coefficient of give expression is 4.