Question

Решить a^2+b^2+c^2+2ab+2bc+2ca

Answer 1

Я так поняла, что нужно в формулу:

Answer 2

To simplify the expression $a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$, we can use the concept of grouping and factoring. Let's see the solution step by step:

1. Group the terms containing like variables together: $a^2 + 2ab + 2ac + b^2 + 2bc + c^2$.

2. Now, look for common factors in each group: Group 1: $a^2 + 2ab + 2ac = a(a + 2b + 2c)$. Group 2: $b^2 + 2bc = b(b + 2c)$. Group 3: $c^2$.

3. Combine the factored groups: $a^2 + 2ab + 2ac + b^2 + 2bc + c^2 = a(a + 2b + 2c) + b(b + 2c) + c^2$.

And that's the final simplified expression.