State whether the statements are true (T) or false (F)(a + b)2 = a2

1.	State whether the statements are true (T) or false (F)(a + b)2 = a2 + b2
Answer» False Lets recall the formula of (a + b)². (a + b)² = a² + 2×a×b + b² ⇒ (a + b)² = a² + 2ab + b² But right-hand side of the equation does not match left-hand side of the equation. That is, a² + 2ab + b² ≠ a² + b² ⇒ (a + b)² ≠ a² + b²

State whether the statements are true (T) or false (F)(a + b)2 = a2 + b2

Answer»

False

Lets recall the formula of (a + b)².

(a + b)² = a² + 2×a×b + b²

⇒ (a + b)² = a² + 2ab + b²

But right-hand side of the equation does not match left-hand side of the equation.

That is,

a² + 2ab + b² ≠ a² + b²

⇒ (a + b)² ≠ a² + b²