Worked examples
Two examples
Example 1
Multiply out: 2x(3x − 5)
- Multiply 2x by each term: 2x × 3x = 6x2, and 2x × (−5) = −10x.
Answer: 6x2 − 10x
Example 2
Multiply out: x2(x + 4)
- x2 × x = x3, and x2 × 4 = 4x2.
Answer: x3 + 4x2
Where this is taught: Algebra Practice 2, “2. A variable times parentheses”
The drill
Ten problems
How many:
Type your answer like 3x^2 - 2x + 5: use ^ for a power, and write like terms together. Then press Check my answers at the bottom.Write each answer on the line. The answer key, with the reasoning, is on the last page.