(a+b+c) ^2 - (a-b-c) ^2
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Step-by-step explanation:
Apply the formula a
2
−b
2
=(a+b)(a−b) to simplify the given expression.
(a+b+c)
2
−(a−b+c)
2
=(a+b+c+a−b+c){a+b+c−(a−b+c)}
=(2a+2c)(a+b+c−a+b−c)
=(2a+2c)(2b)
=4ab+4bc
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