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in Algebraic Formulae – Expansion of Squares by (47.6k points)
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i. (ax + by)2

ii. (7m - 4)2

iii. (x + 1/2)2

iv. (a - 1/a)2

1 Answer

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Best answer

i. (ax + by)

Here, A = ax and B = by 

(ax + by)= (ax)+ 2 × ax × by + (by)…. [(A + B)= A+ 2AB + B

∴ (ax + by) = ax+ 2abxy + by

ii. (7m – 4)

Here, a = 7m and b = 4 

(7m – 4)= (7m)– 2 × 7m × 4 + 4…. [(a – b)= a– 2ab + b

∴ (7m – 4)= 49m– 56m + 16

iii. (x + 1/2)2

Here a = x and b = 1/2

iv. (a - 1/a)2

Here A = a and B = 1/a

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