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Standard X

Mathematics

Factorisation

Factorize eac...

Question

Factorize each of the following expressions:
$1 + 2 x + x^{2}$

(x + 1)^{2}

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(x - 1)^{2}

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(x + 1) (x - 1)

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None of the above

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Solution

The correct option is D $(x + 1)^{2}$
$1 + 2 x + x^{2} = x^{2} + x + x + 1$
$= x (x + 1) + 1 (x + 1)$
$= (x + 1) (x + 1)$
$= (x + 1)^{2}$

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Factorize each of the following expressions:1+2x+x2

The correct option is D (x+1)21+2x+x2=x2+x+x+1 =x(x+1)+1(x+1) =(x+1)(x+1) =(x+1)2

Factorize each of the following expressions:
$1 + 2 x + x^{2}$

The correct option is D $(x + 1)^{2}$
$1 + 2 x + x^{2} = x^{2} + x + x + 1$
$= x (x + 1) + 1 (x + 1)$
$= (x + 1) (x + 1)$
$= (x + 1)^{2}$