Question

Expand 2(q+3) please

Answer 1

• 2q + 6

Explanation:

Expand the expression with the help of distributive property.

• 2(q + 3)
• => (2 x q) + (2 x 3)
• => 2q + 6

Hence, the expanded expression is 2q + 6.

Answer 2

2q +6

Explanation:

The distributive property is used for this purpose. The factor outside parentheses (2) multiplies each of the terms inside parentheses (q, 3).

2(q +3) = 2·q +2·3 = 2q +6

_____

Additional comment

It might help to think of the parentheses as a "bag" containing one "q" and 3 tokens. The number outside parentheses tells you how many "bags" you have. Expanding the expression is equivalent to dumping out the bags and describing the total contents:

2(q +3) = (q +3) +(q +3) . . . . multiplication is the same as repeated addition

= (q +q) +(3 +3)

= 2q +6