(i) a² + 8a + 16
Answer: This equation can be facorised by using the identity; (a + b)2 = a2 + 2ab + b2
Factors = (a + 4)2 = (a + 4)(a + 4)
(ii) p² – 10 p + 25
Answer: This equation can be factorised by using the identity; (a – b)2 = a2 – 2ab + b2
Factors = (p – 5)2
(iii) 25m² + 30m + 9
Answer: = (5m – 3)2
(iv) 49y² + 84yz + 36z²
Answer: (7y + 6z)2
(v) 4x² – 8x + 4
Answer: (2x – 2)2
(vi) 121b² – 88bc + 16c²
Answer: (11b – 4c)2
(vii) (l + m)² – 4lm
Answer: l2 + m2 + 2lm - 4lm
l2 + m2 - 2lm = (l + m)2
(viii) a4 + 2a²b² + b4
Answer: This can be solved using (a+b)² = a²+ 2ab + b²
Hence, a4 + 2a²b² + b4
=(a²+b²)²
