Question

Factor by grouping.1
5u^3+3u^2-35u-2

Answer 1

Answer:

5u3+3u2+35u+21

Final result :

(u2 + 7) • (5u + 3)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((5 • (u3)) + 3u2) + 35u) + 21

Step 2 :

Equation at the end of step 2 :

((5u3 + 3u2) + 35u) + 21

Step 3 :

Checking for a perfect cube :

3.1 5u3+3u2+35u+21 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 5u3+3u2+35u+21

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 35u+21

Group 2: 5u3+3u2

Pull out from each group separately :

Group 1: (5u+3) • (7)

Group 2: (5u+3) • (u2)

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Add up the two groups :

(5u+3) • (u2+7)