State whether the statements are true (T) or false (F)(a + b) (a – b

1.	State whether the statements are true (T) or false (F)(a + b) (a – b) = a2 – b2
Answer» True Let us expand (a + b)(a – b). Multiply each term with the other term which is in multiplication with it. (a + b)(a – b) = a² – ab + ab – b² ⇒ (a + b)(a – b) = a² +(ab – ab) – b² ⇒ (a + b)(a – b) = a² + 0 – b² ⇒ (a + b)(a – b) = a² – b²

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

Answer»

True

Let us expand (a + b)(a – b).

Multiply each term with the other term which is in multiplication with it.

(a + b)(a – b) = a² – ab + ab – b²

⇒ (a + b)(a – b) = a² +(ab – ab) – b²

⇒ (a + b)(a – b) = a² + 0 – b²

⇒ (a + b)(a – b) = a² – b²