Expansion and Factorisation Review Year 9

Factor
n²-13n+40

• (n-5)(n-8)
• (n+5)(n-8)
• (n-5)(n+8)
• (n+6)(n+1)

Factor
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Factor

24a³b² + 56a²b - 16a

• 2a(12a²b² + 28ab - 8)

• 4a(6a²b² + 14ab - 4)

• 8ab(3a²b + 7a - 2)

• 8a(3a²b² + 7ab - 2)

Factor

18w²-27w

• 3w(6w-9)

• 3(6w²-9w)

• w(18w-27)

• 9w(2w-3)

factor completely 
81m² - 1 

• not factorable
• (m-9)(m+9)
• 9m(9m-1)
• (9m-1)(9m+1)

Factor Completely:
x² - 36

• (x + 9)(x - 4)
• (x - 6)(x - 6)
• (x - 9)(x + 4)
• (x + 6)(x - 6)

Factor:
x² - 49

• (x + 7)(x - 7)
• (x + 7)²
• (x - 7)²
• (x+7)(x-1)

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Factor by grouping:

x³-5x²+5x-25

• (x²-5)(x-5)

• (x²+5)(x-5)

• (x²+5)(x+5)

• (x²-1)(x-25)

Factor by grouping:

5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n³+3)(n-2)

• (5n²-3)(n-2)

• 10n(n²-6)