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i. (2a - 3b)2

ii. (10 + y)2

iii. (p/3 + q/4)2

iv. ( y - 3/y)2

1 Answer

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i. Here, A = 2a and B = 3b 

∴ (2a – 3b)2 = (2a)2 – 2 × 2a × 3b + (3b)2 …. [(A – B)2 = A2 – 2AB + B2

= 4a2 – 12ab + 9b2

ii. Here, a = 10 and b = y 

(10 + y)2 = 102 + 2 × 10xy + y2 …. [(a + b)2 = a2 + 2ab + b2

= 100 + 20y + y2

iii. Here, a = and b = q/4

(p/3 + q/4)2 = (p/3)2 + 2 x p/3 x q/4 + (q/4)2…. [(a + b)2 = a2 + 2ab + b2 ]

iv. Here, a = y and b = 3/y

(y - 3/y)2 = y2 - 2 x (y) x 3/y + (3/y)2 …. [(a – b)2 = a2 – 2ab + b2

= y2 - 6 + 9/y2

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