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(x + a)(x +b)= x^2 + x(a+ b) + ab

Which of the ...

Question

Which of the following is a standard identity?

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

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

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

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(a + b) (a - b) = 1

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Solution

The correct option is B $(a + b) (a - b) = a^{2} - b^{2}$
$(a + b) (a - b)$
$= a^{2} - b^{2} + a b - a b$
$= a^{2} - b^{2}$
This is a standard identity

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Similar questions

a = b = 1

a = b

a^{2} = a b

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

(a + b) (a - b) = b (a - b)

\frac{b (a - b)}{a - b}

a + b = b

1 + 1 = 1

2 = 1

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

Question 92 (xxvi)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$(a - b)^{2} - (b - c)^{2}$

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