Question

Expand the following expressions.

(a) 2(x + 6)
(b) 3(x - 1)
(c) 5a(2a - 3b)
(d) 3(x + 2y - 3z)

Answer 1

Expanding each expression involves distributing the outside number to each term inside the parentheses, resulting in simplified algebraic expressions: 2x+12, 3x-3, 10a^2-15ab, and 3x+6y-9z.

Step-by-step explanation:

To expand the following expressions:

1. 2(x + 6): Multiply 2 by each term inside the parentheses to get 2x + 12.
2. 3(x - 1): Multiply 3 by each term inside the parentheses to get 3x - 3.
3. 5a(2a - 3b): Multiply 5a by each term inside the parentheses to get 10a2 - 15ab.
4. 3(x + 2y - 3z): Multiply 3 by each term inside the parentheses to get 3x + 6y - 9z.

After expansion, eliminate terms wherever possible to simplify the algebra and check the answer to ensure it is reasonable.