Answer:
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
Step-by-step explanation:
(a+b+c)
2
−(a−b+c)
=(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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Verified answer
Answer:
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
Step-by-step explanation:
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Answer:
(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