Question

Which expression is equivalent to the expression below?(6c^2+3c/-4c+2)/(2c+1/4c-2)

Answer 1

-3c

Explanation:

We are given that an expression

`((6c^2+3c)/(-4c+2))/((2c+1)/(4c-2))`

We have to find an expression which is equal to given expression

Taking common 3c from nominator and -2 from denominator in dividened and 2 common in divisor then we get

`((3c(2c+1))/(-2(c-2)))/((2c+1)/(2(2c-1)))`

`(3c(2c+1))/(-2(2c-1))* (2(2c-1))/((2c+1))`

By reciprocal divisor

By canceling same factor

Then ,we get

`((6c^2+3c)/(-4c+2))/((2c+1)/(4c-2))`

=-3c

Answer 2

-3c

Explanation:

The given expression is:

`((6c^(2)+3c)/(-4c+2))/((2c+1)/(4c-2))`

We need to simplify this expression. The rational expression in the denominator can be multiplied to numerator by taking its reciprocal as shown below:

`((6c^(2)+3c)/(-4c+2))/((2c+1)/(4c-2)) \\\\ =(6c^(2)+3c)/(-4c+2) * (4c-2)/(2c+1)\\\\=(3c(2c+1))/(-(4c-2)) * (4c-2)/(2c+1)\\\\ =-3c`

Thus, the given expression in simplified form is equal to -3c