1.

The coefficient of x in the expansion of (x + 3)³ is _____

Answer» \textbf{Solution:}

We use the FOLLOWING identity:

【 (X + y)³ = x³ + y³ + 3XY(x + y) 】

⇢(x + 3)³ = x³ + 27 + 3(x)(3)( x + 3)

⇢(x + 3)³ = x³ + 27 + 9X(x + 3)

⇢(x + 3)³ = x³ + 27 + 9x² + 27x

Therefore, the coefficient of x is 27.

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