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Quick questions on Algebraic expressions: expanding brackets and factorising - SQA National 5 Maths

4short 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 sign slips in the brackets?
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For x2βˆ’2xβˆ’15x^2 - 2x - 15 the numbers must multiply to βˆ’15-15 and add to βˆ’2-2, giving (xβˆ’5)(x+3)(x - 5)(x + 3), not (x+5)(xβˆ’3)(x + 5)(x - 3).
What is q1?
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Expand and simplify (2xβˆ’1)(x+4)(2x - 1)(x + 4). [2 marks]
What is q2?
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Factorise fully x2βˆ’25x^2 - 25. [1 mark]
What is q3?
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Factorise x2βˆ’xβˆ’20x^2 - x - 20. [2 marks]

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