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Maths-

General

Easy

Question

$a squared minus 2 a b plus b squared equals$

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

hint Hint:

Divide the mid term as a product of 1st and 3rd elements and take common elements out.

The correct answer is: $left parenthesis a minus b right parenthesis squared$

Ans:- Option B
Given, $a squared minus 2 a b plus b squared$
Divide -2ab into -ab and -ab so that (-ab)(-ab) = $open parentheses a squared close parentheses open parentheses b squared close parentheses$ we get $a squared minus a b minus a b plus b squared$
Taking common elements we get $a left parenthesis a minus b right parenthesis minus b left parenthesis a minus b right parenthesis$
Taking (a-b) common gives $left parenthesis a minus b right parenthesis left parenthesis a minus b right parenthesis equals left parenthesis a minus b right parenthesis squared$
∴ Option B is correct

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