Edexcel GCSE Maths: Algebra: Expressions, Expanding and Factorising

(a) Simplify fully

$\frac{x^2 - 9}{2x^2 + 5x - 3}.$2x2+5x−3x2−9​. (3 marks)

(b) Write as a single fraction in its simplest form

$\frac{3}{x + 1} - \frac{2}{x - 4}.$x+13​−x−42​. (2 marks)

(a) Expand and simplify $(2x - 3)(x + 5)$(2x−3)(x+5). (2 marks)

(b) Factorise fully $12x^3y - 18xy^2$12x3y−18xy2. (2 marks)

Make $r$r the subject of the formula

$A = \frac{r + 3}{r - t}.$A=r−tr+3​. (4 marks)

Simplify fully

$\frac{(2a^3b)^2 \times 5a b^4}{4 a^4 b^3}.$4a4b3(2a3b)2×5ab4​. (3 marks)

Factorise $x^2 - 7x - 18$x2−7x−18. (2 marks)

Simplify $5x^2 + 3x - 2x^2 + 7x$5x2+3x−2x2+7x. (1 mark)