Simplify the following rational expression:

6w^2 + 11w - 7/6w - 3

Answer: 3w+7

Perhaps you mean ????

[ 6w^2 + 11w - 7 ] / [ 6w - 3 ]

(2w-1)(3w+7) / [3(2w-1)]

(3w+7)/3

To simplify the rational expression (6w^2 + 11w - 7)/(6w - 3), we can start by factoring both the numerator and the denominator (if possible).

The numerator can be factored as (2w - 1)(3w + 7). Similarly, the denominator can be factored as 3(2w - 1).

Now, we can cancel out the common factor (2w - 1) in both the numerator and the denominator:

[(2w - 1)(3w + 7)] / [3(2w - 1)]

After canceling out the common factor, we are left with:

(3w + 7) / 3

Therefore, the simplified form of the rational expression is (3w + 7) / 3.