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Mathematics

Expand (5a - 3b + c)2

Expansions

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Answer

Given,

⇒ (5a - 3b + c)2

Expanding,

⇒ (5a - 3b + c)(5a - 3b + c)

⇒ (5a)2 - 15ab + 5ac - 15ab + 9b2 - 3bc + 5ac - 3bc + c2

⇒ 25a2 + 9b2 + c2 - 30ab - 6bc + 10ac.

Hence, (5a - 3b + c)2 = 25a2 + 9b2 + c2 - 30ab - 6bc + 10ac.

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