Expanding BracketsEdexcel IGCSE Maths: Flashcards

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Expand $4(x+6)$

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Expand $4(x+6)$: $4x + 24$
Expand $-3(2x-5)$: $-6x + 15$
What method is used to expand double brackets?: FOIL — First, Outer, Inner, Last
Expand $(x+2)(x+5)$: $x^2 + 7x + 10$
Expand $(x-3)(x+4)$: $x^2 + x - 12$
What is $(a+b)^2$ equal to?: $a^2 + 2ab + b^2$
What is $(a-b)^2$ equal to?: $a^2 - 2ab + b^2$
Expand $(x+3)^2$: $x^2 + 6x + 9$
Is $(x+3)^2 = x^2 + 9$ ?: No — this is a common mistake; the middle term $6x$ is missing
How do you expand a triple bracket like $(x+1)(x+2)(x+3)$ ?: Expand two brackets first, then multiply the result by the third bracket
Expand $(x+1)(x+2)$: $x^2 + 3x + 2$
What is the highest power in a cubic expression?: 3
What is the inverse of expanding brackets?: Factorising
Factorise $x^2 + 7x + 10$: $(x+2)(x+5)$
Why check your expansion by factorising?: It's a quick way to catch sign or arithmetic errors in an exam