Chapter 1 - Algebraic Expressions

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Learning Objectives

Multiply and divide integer powers

Expand a single term over brackets and collect like terms

Expand the product of two or three expressions

Factorise linear quadratic and simple cubic expressions

know and use the laws of indices

Simplify and use the rules of surds

Rationalise denominators

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1.1 Index Laws

a^m x a^n = a^m+n

a^m / a^n = a^m-n

(a^m)^n = a^mn

(ab)^n = a^nb^n

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1.2 Expanding Brackets

(x + 5)(4x - 2y + 3) = x(4x - 2y + 3) + 5(4x - 2y + 3)

= (4x^2 - 2xy + 3x) + (20x - 10y + 15)