Expand:
$(x + 1) (x + 2) (x + 3)$

x^{3} + 4 x^{2} + 11 x + 6

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x^{3} + 6 x^{2} + 12 x + 6

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x^{3} + 6 x^{2} + 11 x + 6

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x^{2} + 6 x^{3} + 11 x + 6

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Solution

The correct option is C $x^{3} + 6 x^{2} + 11 x + 6$
Using the Identity
$(x + a) (x + b) (x + c) = x^{3} + (a + b + c) x^{2} + (a b + b c + c a) x + a b c$

We get,
$(x + 1) (x + 2) (x + 3)$
$= (x)^{3} + (1 + 2 + 3) (x)^{2} + (1 \times 2 + 2 \times 3 + 3 \times 1) x + (1) (2) (3)$

$= x^{3} + 6 x^{2} + (2 + 6 + 3) x + 6$

$= x^{3} + 6 x^{2} + 11 x + 6$

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Similar questions

\frac{(x - 1) (x - 2) (x - 3)}{(x + 1) (x + 2) (x + 3)} > 1

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x^{3} - 6 x^{2} + 11 x - 6

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\frac{(x - 1) (x - 2) (x - 3)}{(x + 1) (x + 2) (x + 3)} > 1

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