Question

Simplify (a + b + c)(a + b - c).
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Answer 1

Answer:

(a+b+c)(c+b−c)

Expand (a+b+c)(a+b−c) by multiplying 

each term in first expression by each term in second expression

a2+ab−ac+ba+b2−bc+ca+cb−c2

a2+ab+ba+b2−ac+ca+cb−bc−c2

a2+2ab+b2−0+0−c2

a2+2ab+b2−c2

(a+b)2−c2

Explanation:

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Answer 2

Answer:

$a(a + b - c) + b(a + b - c) + c(a + b - c)$

${a}^{2} + ab - ac + ab + {b}^{2} - bc + ac + bc - {c}^{2}$

${a}^{2} + {b}^{2} - {c}^{2} + 2ab + 2bc$

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