24x^3-40x^2+3x-5

The given expression is 24x^3 - 40x^2 + 3x - 5.

To simplify this expression, you can follow the steps below:

Step 1: Group the terms with similar powers of x.
24x^3 - 40x^2 + 3x - 5 = (24x^3 - 40x^2) + (3x - 5)

Step 2: Factor out the greatest common factor from each group.
24x^3 - 40x^2 = 8x^2(3x - 5)
3x - 5 = 3x - 5

The simplified expression is then:
8x^2(3x - 5) + (3x - 5)

Notice that the terms in each group are the same, so we can factor out the common term (3x - 5) from both groups.

Step 3: Factor out (3x - 5) from each group:
8x^2(3x - 5) + (3x - 5) = (3x - 5)(8x^2 + 1)

Therefore, the simplified form of the expression 24x^3 - 40x^2 + 3x - 5 is (3x - 5)(8x^2 + 1).