Using binomial identities, expand the following expression $(t + 3)^{2}$

t^{2} - 6 t - 9

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t^{2} + 6 t - 9

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t^{2} + 6 t + 9

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t^{2} - 6 t + 9

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Solution

The correct option is C $t^{2} + 6 t + 9$
We need to expand $(t + 3)^{2}$
We know that binomial identities for $(a + b)^{2} = a^{2} + 2 a b + b^{2}$
So, $a = t, b = 3$
$=$ $t^{2} + 2 \times 3 t + 3^{2}$
$=$ $t^{2} + 6 t + 9$

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