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


Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

cracku

Boost your Prep!

Download App