(a + b + c)^2 = (a + b + c) (a + b + c). This expression represents the area of the square with sides a + b + c. Expanding this expression involves using the...
(a + b + c)^2 = (a + b + c) * (a + b + c).
This expression represents the area of the square with sides a + b + c. Expanding this expression involves using the distributive property to multiply the two binomials.
(a + b + c)^2 = a^2 + 2ab + b^2 + 2bc + c^2.
This shows that the expanded expression is the sum of the squares of the three individual variables.
For example, if a = 3, b = 4, and c = 5, then (a + b + c)^2 = 9 + 24 + 25 = 58