The expression (a + b + c)^2 can be expanded to a^2 + b^2 + c^2 + 2(ab + bc + ca).

From the given conditions, we know that a^2 + b^2 + c^2 = 1 and 2(ab + bc + ca) = 80.

Substituting these values into the expanded expression, we get 1 + 80 = 81.

So, the value of (a + b + c)^2 is 81.

Question

The expression (a + b + c)^2 can be expanded to a^2 + b^2 + c^2 + 2(ab + bc + ca).

From the given conditions, we know that a^2 + b^2 + c^2 = 1 and 2(ab + bc + ca) = 80.

Substituting these values into the expanded expression, we get 1 + 80 = 81.

So, the value of (a + b + c)^2 is 81.

Knowee AI · Accepted Answer

The expression (a + b + c)^2 can be expanded to a^2 + b^2 + c^2 + 2(ab + bc + ca).

From the given conditions, we know that a^2 + b^2 + c^2 = 1 and 2(ab + bc + ca) = 80.

Substituting these values into the expanded expression, we get 1 + 80 = 81.

So, the value of (a + b + c)^2 is 81.

If 𝑎2 + 𝑏2 + 𝑐2 = 1 and 2(𝑎𝑏 + 𝑏𝑐 + 𝑐𝑎) = 80, then the value of(𝑎 + 𝑏 + 𝑐)2 is