Question

The factors of 3ab(a + b)?

Answer 1

Given:

3ab(a + b)

=3a²b+3ab²

Hence the answer is 3a²b+3ab²

Answer 2

To find:

The facfors of 3ab (a + b)

Concept:

• Before we solve the problem, we must understand about factors.

• A factor is an expression (number or variable) by which if another expression is divided, it leaves no remainder.

Step-by-step explanation:

Here the given expression is 3ab (a + b).

Its factors are: 3, a, b, 3a, 3b, 3 (a + b), ab, a (a + b), b (a + b), 3a (a + b), 3b (a + b), (a + b), 3 (a + b) and 3ab (a + b).

• 3ab (a + b) ÷ 3 = ab (a + b)
• 3ab (a + b) ÷ a = 3b (a + b)
• 3ab (a + b) ÷ b = 3a (a + b)
• 3ab (a + b) ÷ 3a = b (a + b)
• and so on ... ...

Above we obtain no remainders.

Conclusion:

Factors of 3ab (a + b) are 3, a, b, 3a, 3b, 3 (a + b), ab, a (a + b), b (a + b), 3a (a + b), 3b (a + b), (a + b), 3 (a + b) and 3ab (a + b).