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Multiplication of Algebraic Expressions

a+ba-b can be...

Question

$(a + b) (a - b)$ can be expressed as _____.

$a^{2} + b^{2}$

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

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$a b$

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$a^{2} - 2 a b$

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Solution

The correct option is B
$a^{2} - b^{2}$

Given, $(a + b) (a - b)$

$= a (a - b) + b (a - b)$ [By distributive law of multiplication]

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

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

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