Verify (a+b+c) ^2=a^2+b^2+c^2+2ab+2bc+2ca

With the observation answer

Question

Mathematics

Brynn Washington

2 February, 20:27

Verify (a+b+c) ^2=a^2+b^2+c^2+2ab+2bc+2ca

With the observation answer

+2

Answers (1)

Know the Answer?

William Velasquez · Answer 1

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

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

Verify (a+b+c) ^2=a^2+b^2+c^2+2ab+2bc+2ca

With the observation answer