Question

Factorise the following expression using identities:- (Also mention the identity )
x^2+2√2x+2

Answer 1

Answer ::-

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To factorise of : x² + 2√2x + 2


Salutation :-

x² + 2√2x + 2

= ( x )² + 2 . x . √2 + ( √2 )²

= ( x + √2 )²

[ ★ Using identity ]

= ( x + √2 ) ( x + √2 ). [ ★ Required answer ]

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• Used identity →

( a + b )² = a² + 2ab + b²

Where , a = x and b = √2

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Answer 2

Hey !!! ^_^

Here is your answer

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The given Quardatic equation are..

${x}^{2} + 2 \sqrt{2}x + \sqrt{2} \\ \\ u \: can \: see \: that \: given \: \\ quardatic \: equation \: are \: in \: the \: form \: of \\ \\ {a}^{2} + 2ab + {b}^{2} \\ \\ so \: th \: factorsation \: is \: \\ {(x)}^{2} + 2. \sqrt{2} .x + { (\sqrt{2} )}^{2} \\ {(x + \sqrt{2} )}^{2} \\ \\ we \: use \: the \: \: first \: identity \: \\ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$
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I HOPE IT WILL HELP YOU


Thank you

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