Lemmara logoLemmaraWorked solution

4MA1/2F Jan 2022, Question 16: Expand and Simplify

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 7 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Expand and simplify two algebraic expressions, then factorise a two-term expression in b and c fully.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 3 marks

Expand x(2x − 3) + 7(2x + 1) − 5 and simplify to a single expression.

  1. 1x(2x − 3) = 2x² − 3x and 7(2x + 1) = 14x + 7
  2. 22x² − 3x + 14x + 7 − 5
  3. 32x² + 11x + 2

Answer2x² + 11x + 2

Part (b) · 2 marks

Expand the product (y + 4)(2 − y) and simplify the result.

  1. 1Multiply each term: 2y − y² + 8 − 4y
  2. 2Collect like terms: 8 − y² − 2y

Answer8 − y² − 2y

Part (c) · 2 marks

Factorise 15b⁵c − 35b³c⁹ completely, taking out the highest common factor.

  1. 1Highest common factor of both terms: 5b³c
  2. 215b⁵c ÷ 5b³c = 3b² and 35b³c⁹ ÷ 5b³c = 7c⁸
  3. 35b³c(3b² − 7c⁸)

Answer5b³c(3b² − 7c⁸)

Stuck on a step? Read the free lesson: Expand and Simplify

Practise more expand and simplify questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on expand and simplify

Also searched as: 4MA1 2F January 2022 · 4MA1/2F · 4ma1 jan22 2f · question 16.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.