3 years ago

Verify (a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca With the observation answer

Mathematics

1 answer:

balu736 [363]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

(a + b + c)² = (a + b + c)(a + b + c)

Each term in the second factor is multiplied by each term in the firs factor, that is

a(a + b + c) + b(a + b + c) + c(a + b + c) ← distribute all 3 parenthesis

= a² + ab + ac + ab + b² + bc + ac + bc + c² ← collect like terms

= a² + b² + c² + 2ab + 2bc + 2ac

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