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(a + b)^2 Expansion and Visualisation

Use identity ...

Question

Use identity to get the product of $(x + 3) (x + 3)$

A

x^{2} + x + 8

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B

x^{2} + 6 x + 9

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C

2 x^{2} + 10 x + 7

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D

2 x^{2} + x + 6

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Solution

The correct option is B $x^{2} + 6 x + 9$
$(x + 3) (x + 3) = x^{2} + (3 + 3) x + (3) (3)$
Using: $[(x + a) (x + b) = x^{2} + (a + b) x + a b]$
$= x^{2} + 6 x + 9$

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