Algebraic Expansion and Factorisation (HSC SSCE Mathematics Advanced): Flashcards

Multiplying out brackets to remove them from an expression

Reverse of expansion; rewriting expression with brackets

Inverse processes that undo each other

$x^2 + 2ax + a^2$

$x^2 - 2ax + a^2$

$a^2 - b^2 = (a - b)(a + b)$

Multiply to $c$ and add to $b$

Multiply coefficient of $x^2$ by constant term ($a \times c$)

Expand the brackets; should get original expression

Distributive law: $a(b + c) = ab + ac$