CAIE IGCSE Mathematics Extended E2.2.2 Expand Products of Algebraic Expressions Questions

Practise Extended CAIE IGCSE Mathematics by expanding two or three brackets, tracking subtraction and powers, and collecting the resulting polynomial terms.

Exam points

Expand every term in one bracket by every term in the next, then collect matching powers to simplify the polynomial.
For three factors, expand two brackets first and multiply the result by the remaining bracket, handling squared brackets and subtraction signs carefully.

[Maximum number: 3]

Figure for Question CAIE IGCSE Mathematics Extended E2.2.2 Expand Products of Algebraic Expressions Questions question 1 — CAIE IGCSE Mathematics Extended

\mathrm{f}(x)=x(x+2)(x-3)

Expand and simplify.

x(x+2)(x-3)

$x^3-x^2-6x$

B2 for $x(x^2+2x-3x-6)$ , $(x^2+2x)(x-3)$ , or $(x+2)(x^2-3x)$ .
B1 for $x^2+2x-3x-6$ , $x^2+2x$ , or $x^2-3x$ .

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CAIE IGCSE Mathematics Extended E2.2.2 Expand Products of Algebraic Expressions Questions question 1