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Year 8 · Patterns & Algebra

Multiply by a monomial

Polynomials add and subtract by collecting like terms, and multiply by expanding every pair.

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How to do it

  1. Add: combine x² with x², x with x, numbers with numbers.
  2. Subtract: change every sign in the second bracket, then add.
  3. Multiply: each term times each term, then collect.

Worked example

2x(3x + 4)
2x × 3x = 6x² and 2x × 4 = 8x
6x² + 8x

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Subtracting a negative term adds it.

Practise Multiply by a monomial properly

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