Factorise: 3a $^{2}$ + 5ab + 2b $^{2}$
(2 marks)

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Solution

3a $^{2}$ + 5ab + 2b $^{2}$
= 3a $^{2}$ + 3ab + 2ab + 2b $^{2}$
= 3a(a + b) + 2b(a + b)
(1 mark)
= (3a + 2b)(a + b)
(1 mark)

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