Question

If a and b are real numbers, then (a + b)2 = a2 + b2 Provide a counterexample for the statement.
a = 0 and b = 1
a = 1 and b = 0
a = 1 and b = 2
a = 0 and b = 0

Answer 1

Answer:

a = 1 and b = 2

Step-by-step explanation:

Input the counterexample into the formula.

(a + b)² = a² + b²

(1 + 2)² = 1² + 2²

(3)² = 1 + 4

9 ≠ 5

This proves that the statement is false.