Factorizing: x^2+14x+33 = gt; #160; x^2+(11+3)x+33 = gt; #160; x^2+11x+3x+33 = gt; #160; x(x+11)+3(x+11) = gt; #160; (x ...

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Factorisation Using Algebraic Identities

Factorize: x...

Question

Factorize:
$x^{2} + 14 x + 33$

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Solution

Factorizing:-

$x^{2} + 14 x + 33$

=> $x^{2} + (11 + 3) x + 33$

=> $x^{2} + 11 x + 3 x + 33$

=> $x (x + 11) + 3 (x + 11)$

=> $(x + 11) (x + 3)$

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