Expanding brackets (AQA GCSE Further Maths): Flashcards

$ax^2 + bx + c$ where $a \neq 0$

Presence of squared term like $x^2$

Quadratic expression

Multiply each term in 1st bracket by each term in 2nd

$(x + 5)$ multiplied by itself: $(x + 5)(x + 5)$

Squaring each term individually

$(3x - 5)(3x - 5)$, NOT $(3x)^2 - 5^2$

Break into steps: $(a - 2)(a - 2)^2$

Work out $(a - 2)^2$ first

Combining like terms at the end

Always quadratic

Multiply every term in one bracket by every term in other