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Number and Algebra
Quick questions on Algebraic manipulation and factorisation explained: O-Level E-Maths
7short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What are expanding brackets?Show answer
To expand a single bracket, multiply each term inside by the term outside. To expand two brackets, multiply every term in the first by every term in the second:
What is factorising by common factor?Show answer
Take out the highest common factor of all terms: . Always check first whether a common factor exists, because it simplifies everything that follows.
What is factorising by grouping?Show answer
When four terms share factors in pairs, group and factorise each pair, then take out the common bracket:
What are sign errors in factor pairs?Show answer
For the numbers are and ; check both the sum and the product, including signs.
What is q1?Show answer
Expand and simplify . [2 marks]
What is q2?Show answer
Factorise . [1 mark]
What is q3?Show answer
Factorise . [2 marks]
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