Binomial Expressions

Where this fits in the syllabus

Grade 10 · Term 1 · Grade 11 · Term 1

Key points to revise

Revise Binomial Expressions fast with concise, exam-ready key points

About O/L Mathematics: O/L Mathematics covers number systems, algebra, geometry, trigonometry, and statistics across Grade 10 and 11.

• Binomial Theorem for (a + b)^n:
• General Term:
• Binomial Coefficient:
• Pascal's Triangle (rows 0 to 5):
• Expansion of (a - b)^n:

Must know

• Memorize Pascal's triangle up to row 6 (n=6) to quickly find coefficients for common expansions. Practice writing it from memory
• For finding a specific term, always use the general term formula T_(k+1) = C(n,k) * a^(n-k) * b^k. Identify a and b carefully, including any coefficients and signs
• When the binomial has a minus sign, treat it as (a + (-b))^n and apply the general term with b replaced by -b. This avoids sign errors
• Simplify powers step by step: first simplify the coefficient, then the variable part. For example, (3x²)⁴ = 81x⁸

Source: Idasara knowledge pack — english/OL_11/mathematics v16, short_notes: Lesson 06 - Binomial Expressions

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