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4MA1/2FR Jan 2019, Question 25: Simple Factorising

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

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The question, in short

Factorise the expression 12d²e + 16d²e² completely, then simplify the quotient 15k⁴m³ divided by 5km² fully.

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Part (a) · 2 marks

Factorise 12d²e + 16d²e² fully.

  1. 1The common factor of both terms is 4d²e
  2. 212d²e ÷ 4d²e = 3
  3. 316d²e² ÷ 4d²e = 4e
  4. 4So the answer is 4d²e(3 + 4e)

Answer4d²e(3 + 4e)

Part (b) · 2 marks

Simplify (15k⁴m³)/(5km²) fully.

  1. 115 ÷ 5 = 3
  2. 2k⁴ ÷ k = k³ (subtract the powers)
  3. 3m³ ÷ m² = m
  4. 4So the answer is 3k³m

Answer3k³m

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