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Mathematics

Find the square of:

3a - 2b - 5c

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Answer

(3a - 2b - 5c)2

Using the formula

(∵ (x - y - z)2 = x2 + y2 + z2 - 2xy + 2yz - 2xz)

= (3a)2 + (2b)2 + (5c)2 - 2 ×\times (3a) ×\times (2b) - 2 ×\times (2b) ×\times (5c) + 2 ×\times (5c) ×\times (3a)

= 9a2 + 4b2 + 25c2 - 12ab + 20bc - 30ca

Hence, (3a - 2b - 5c)2 = 9a2 + 4b2 + 25c2 - 12ab + 20bc - 30ca

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