Question

7)The coefficient of x in the expansion of (x+3)^3 is?

Answer 1

QUESTION:

7)The coefficient of x in the expansion of (x+3)^3 is?

ANSWER:

We expand the first

$( {x + 3})^{3}$

we use the identity here;

${(a + b)}^{ 3 } = {a}^{3} + {b}^{3} + 3ab(a + b)$

so;

${x}^{3} + {3}^{3} + 3 \times x \times 3(x + 3) \\ {x}^{3} + 27 + 9x(x + 3) \\ {x}^{3} + 27 + 9 {x}^{2} + 27x$

hence the coefficient of x is 27.

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