OCR GCSE Maths: Algebra: Expressions, Expanding and Factorising

(a) Simplify $5x + 7 - 2x + 4y - x + 3y$5x+7−2x+4y−x+3y. (2 marks)

(b) Expand and simplify $(2x + 3)(4x - 5)$(2x+3)(4x−5). (2 marks)

(c) Factorise $x^2 + 2x - 35$x2+2x−35. (1 mark)

(a) Simplify $4p^5 q^2 \times 3p^{-2} q^4$4p5q2×3p−2q4, giving your answer with positive indices. (2 marks)

(b) Simplify fully $\dfrac{6a^4 b^2}{15a b^5}$15ab56a4b2​. (2 marks)

Show that $(x + 5)^2 - (x + 2)(x - 2) \equiv 10x + 29.$(x+5)2−(x+2)(x−2)≡10x+29. You must show each step of your working. (4 marks)

Factorise $6x^2 + 7x - 20$6x2+7x−20. (3 marks)

Factorise fully $49x^2 - 64$49x2−64. (2 marks)

Simplify $8m - 3n - 5m + 7n$8m−3n−5m+7n. (1 mark)