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7. Algebraic Expression, Identities and Factorisation
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Q61 of 128 Page 224

State whether the statements are true (T) or false (F).

(a + b) (a – b) = a2 – b2

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


Hence, this statement is true.


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59

State whether the statements are true (T) or false (F).

(a + b)2 = a2 + b2

60

State whether the statements are true (T) or false (F).

(a - b)2 = a2 - b2

62

State whether the statements are true (T) or false (F).

The product of two negative terms is a negative term.

63

State whether the statements are true (T) or false (F).

The product of one negative and one positive term is a negative term.

Questions · 128
7. Algebraic Expression, Identities and Factorisation
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