Question

Which expression is equivalent to the expression

Answer 1

This simplifies to -3c, with the constraint that c should not be equal to 1/2.

Answer 2

The trick with these is to just try a number. c=1

( (6+3)/(-4+2) ) / ( (2+1)/(4-2) ) = (9/-2)/(3/2)) = -3

Last choice.

If there was a none of the above we'd have to do the algebra, which is straightforward:


`\frac{ (6c^2+3c)/(-4c+2) } { (2c + 1)/(4c - 2) }=(6c^2+3c)/(-4c+2) \cdot (4c - 2)/(2c + 1)`


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


`=(-1)\cdot(3c(2c+1))/(2c + 1)`


`=-3c`