Expressions and manipulation
Lesson 2 of 13
Standard practice
Expanding brackets
Objective. Expand single and double brackets.
- 1. Learn
- 2. Worked example
- 3. Practice
- 4. Feedback
- 5. Continue
Learn: the key idea
Every term inside the bracket is multiplied by every term outside it. For double brackets, each of the two terms multiplies each of the other two.
Worked example
Expand (x + 3)(x − 5).
- 1x × x = x², x × −5 = −5x.
- 23 × x = 3x, 3 × −5 = −15.
- 3Collect: −5x + 3x = −2x.
Answer: x² − 2x − 15
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