InterviewSolution
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InterviewSolution
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Factorise the following expressions.(i) a² + 8a + 16(ii) p² – 10 p + 25(iii) 25m² + 30m + 9(iv) 49y² + 84yz + 36z²(v) 4x² – 8x + 4(vi) 121b² – 88bc + 16c²(vii) (l + m)² – 4lm(viii) a4 + 2a²b² + b4 |
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Answer» (i) a² + 8a + 16 Answer: This equation can be facorised by using the identity; (a + b)2 = a2 + 2ab + b2 (ii) p² – 10 p + 25 Answer: This equation can be factorised by using the identity; (a – b)2 = a2 – 2ab + b2 (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 (viii) a4 + 2a²b² + b4 Answer: This can be solved using (a+b)² = a²+ 2ab + b² |
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