Question 69

What is the coefficient of x in the expansion of $$(3x - 4)^3$$?

Solution

$$(3x - 4)^3$$ = $$(3x - 4)(3x - 4)^2$$

= $$(3x - 4)(9x^2+16-24x)$$

= $$27x^3+48x-72x^2-36x^2-64+96x$$

= $$27x^3-108x^2+144x-64$$

The coefficient of x in the expansion = 144

Hence, the correct answer is Option C

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