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Algebraic expressions (expansion, factorization, simplification) — KCSE Mathematics

KCSE Mathematics · 105 practice questions · 4 syllabus objectives

24 easy68 medium13 hard

What You'll Learn

Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.

Expand brackets, including (a ± b)² and (a + b)(a – b), and simplify algebraic expressions by collecting like terms

Factorise algebraic expressions using common factors, difference of two squares and quadratic trinomials

Simplify algebraic fractions by factorising the numerator and denominator and cancelling common factors

Algebraic expressions (expansion, factorization, simplification)

Sample Questions

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1
easySHORT ANSWER3 marks

Expand and simplify: (a) (16x + 2)(6x – 33) [2 marks] (b) (75x + 180)² [1 mark]

View Marking Scheme
Part (a) — 3 marks
Correct expansion of (ax+b)(cx-d) — four terms (1 mk)
Like terms collected correctly (1 mk)
(ex+f)² = e²x² + 2efx + f² correctly expanded (1 mk)
2
easySHORT ANSWER3 marks

Expand and simplify: (a) (18x + 2)(13x – 17) [2 marks] (b) (82x + 80)² [1 mark]

View Marking Scheme
Part (a) — 3 marks
Correct expansion of (ax+b)(cx-d) — four terms (1 mk)
Like terms collected correctly (1 mk)
(ex+f)² = e²x² + 2efx + f² correctly expanded (1 mk)
3
easySHORT ANSWER3 marks

Expand and simplify: (a) (18x + 16)(7x – 50) [2 marks] (b) (22x + 190)² [1 mark]

View Marking Scheme
Part (a) — 3 marks
Correct expansion of (ax+b)(cx-d) — four terms (1 mk)
Like terms collected correctly (1 mk)
(ex+f)² = e²x² + 2efx + f² correctly expanded (1 mk)
4

Expand and simplify: (a) (16x + 15)(20x – 11) [2 marks] (b) (69x + 90)² [1 mark]

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Why Practise Algebraic expressions (expansion, factorization, simplification)?

KNEC Aligned

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Master Algebraic expressions (expansion, factorization, simplification) for KCSE

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