CAIE IGCSE Mathematics Expanding Products of Expressions

Practise expanding two or three algebraic brackets, handling squared expressions and collecting like terms into a simplified polynomial.

Exam points

multiply every term in one bracket by every term in the next before collecting like terms
expand two brackets first when multiplying three factors, then multiply by the remaining bracket
handle subtraction of squared brackets carefully and combine coefficients of matching powers

[Maximum number: 3]

Expand and simplify.
(2x+3)(x-1)(x+3)

$2x^3+7x^2-9$ final answer
B2 for correct expansion unsimplified or simplified four-term expression with three terms correct
or B1 for one pair of brackets expanded

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E2.2.2 Expand products of algebraic expressions. question 1