Related InterviewSolutions

• Expand:i. (2p + q + 5)2 ii. (m + 2n + 3r)2
• Simplify:(x – 2y + 3)2 + (x + 2y – 3)2
• Simplify:(3k – 4r – 2m)2 – (3k + 4r – 2m)2
• Simplify: i. (2a + b)3 – (2a – b)3ii. (3r – 2k)3 + (3r + 2k)3iii. (4a – 3)3 – (4a + 3)3iv. (5x – 7y)3 + (5x + 7y)3
• Simplify:(7a – 6b + 5c)2 + (7a + 6b – 5c)2
• Simplify: i. (x – 2y + 3)2 + (x + 2y – 3)2ii. (3k – 4r – 2m)2 – (3k + 4r – 2m)2iii. (7a – 6b + 5c)2 + (7a + 6b – 5c)2
• Use the formulae to fill proper terms in the following boxes.1. (x + 2y)2 = x2 + ___ + 4y2 2. (2x – 5y)2 = __ – 20xy + __ 3. (101)2 = (100 + 1)2 = ___+ ___ + 12 = ___ 4. (98)2 = (100 – 2)2= 10000 – ___ + ___ = ___ 5. (5m + 3n) (5m – 3n) = ___ – ___ = ___ – __
• Fill in the boxes with appropriate terms in the steps of expansion. (2p + 3m + 4n)2= (2p)2 + (3m)2 + __ + 2 × 2p × 3m + 2 × __ × 4n + 2 × 2p × __ = __ + 9m2 + __ + 12pm + __ + __
• Use the above formulae to fill proper terms in the following boxes.1. (x + 2y)2 = x2 + ___ + 4y22. (2x – 5y)2 = __ – 20xy + __3. (101)2 = (100 + 1)2 = ___+ ___ + 12 = ___4. (98)2 = (100 – 2)2 = 10000 – ___ + ___ = ___5. (5m + 3n) (5m – 3n) = ___ – ___ = ___ - ___