Question 61

In the following question, state whether the statement is True (T) or False (F):

$(a + b) (a - b) = a^{2} - b^{2}$

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Solution

True
We know that, $(a + b) (a - b) =$ $a \times a - a \times b + b \times a - b \times b$
= $a^{2} - a b + b a - b^{2}$

= $a^{2} - b^{2}$

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Question 61 In the following question, state whether the statement is True (T) or False (F): (a+b)(a−b)=a2−b2

True We know that, (a+b)(a−b)=a×a−a×b+b×a−b×b =a2−ab+ba−b2 =a2−b2

Question 61

In the following question, state whether the statement is True (T) or False (F):

$(a + b) (a - b) = a^{2} - b^{2}$

True
We know that, $(a + b) (a - b) =$ $a \times a - a \times b + b \times a - b \times b$
= $a^{2} - a b + b a - b^{2}$

= $a^{2} - b^{2}$