Factor by grouping,

3w? + 4w? + 15w+20

3w3-4w2+15w-20

Final result:

(w2 + 5) • (3w - 4)

Step by step solution:

Step 1:

Equation at the end of step 1:

(((3 • (w3)) - 22w2) + 15w) - 20

Step 2:

Equation at the end of step 2:

((3w3 - 22w2) + 15w) - 20

Step 3:

Checking for a perfect cube:

3.1 3w3-4w2+15w-20 is not a perfect cube

Trying to factor by pulling out:

3.2 Factoring: 3w3-4w2+15w-20