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 Expansion of (a – b)² is, (a – b)² = a² – 2 × a × b + b² ⇒ (a – b)² = a² – 2ab + b² And 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

Expansion of (a – b)² is,

(a – b)² = a² – 2 × a × b + b²

⇒ (a – b)² = a² – 2ab + b²

And a² – 2ab + b² ≠ a² – b²

⇒ (a – b)² ≠ a² – b²