The equality a² + b² + c² = (a + b)² is verified for c² equal to: a. c² = 0 b. c² = 1 c. c² = 2ab d. c² = ab e. c² = a + bc
Accepted Solution
A:
Let's simplify the given equation:
a² + b² + c² = (a + b)²
Expand the right side:
a² + b² + c² = a² + 2ab + b²
Now, subtract a² and b² from both sides of the equation:
c² = 2ab
So, the correct answer is:
c² = 2ab (option c)