Binomial Expressions — O/L Mathematics

How do I practise Binomial Expressions?

1 question with a worked solution

1. Expand and simplify the algebraic product: (2x - 3)(3x + 4).
   1. A) 6x² - 12
   2. B) 6x² - x - 12
   3. C) 6x² - 5x - 12
   4. D) 6x² + x - 12
   Check my answer

   Correct answer: B) 6x² - x - 12

   Using distributive law: (2x)(3x) + (2x)(4) + (-3)(3x) + (-3)(4) = 6x² + 8x - 9x - 12 = 6x² - x - 12.

   Show worked solution

   Step 1: Multiply first terms: 2x × 3x = 6x². Step 2: Multiply outer terms: 2x × 4 = +8x. Step 3: Multiply inner terms: -3 × 3x = -9x. Step 4: Multiply last terms: -3 × 4 = -12. Step 5: Combine like terms: 6x² + (8x - 9x) - 12 = 6x² - x - 12. Answer: 6x² - x - 12.
   Modelled on: the O/L Mathematics examination pattern

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Where does Binomial Expressions fit in the syllabus?

Grade 10 · Term 1 · Grade 11 · Term 1