Answers − Factorisation

  1.   Factorise 6a + 72

6a + 72		has the HCF of 6
6a + 72		= 6 × a + 6 × 12
		= 6 × (a + 12)
		= 6(a + 12)

  2.   Factorise 9 + 54c

9 + 54c		has the HCF of 9
9 + 54c		= 9 × 1 + 9 × 6c
		= 9 × (1 + 6c)
		= 9(1 + 6c)

  3.   Factorise 12b + 28

12b + 28		has the HCF of 4
12b + 28		= 4 × 3b + 4 × 7
		= 4 × (3b + 7)
		= 4(3b + 7)

  4.   Factorise 27 + 63y

27 + 63y		has the HCF of 9
27 + 63y		= 9 × 3 + 9 × 7y
		= 9 × (3 + 7y)
		= 9(3 + 7y)

  5.   Factorise 14a + 28ab

  6.   Factorise 2a + 4ab + 8ac

  7.   Factorise 28 + 32a − 40ab

  8.   Factorise 27a − 36ab − 63abc

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