Question

In expansion of ( 2x -3) ³ , the coefficient of x is . ... Help me as fast you all can ... &give proper answer to me​

Answer 1

Given:

( 2x -3) ³

To find:

The coefficient of x

Solution:

We have given the polynomial equation where the degree of the equation is 3, so the given polynomial is a cubic equation.

We have the direct formula to get the expanded form of the given equation;

(a-b)³ = a³-b³-3a²b+3ab²

expand the given equation by using this formula;

(2x-3)³

(2x)³-3³-3×(2x)²×3+3×(2x)×3²

8x³ - 27 - 36x² + 54x

from the above-expanded form of the equation,

the coefficient of the x is 54