The farmers market is going to be decorated using hay stacks

The farmers’ market is going to be decorated using hay stacks. To compute the volume of such a hay stack, Mary uses the expression (2x-3)^3. Write the expression in its expanded form. If the expression is written in the format ax^3+bx^2+cx+d. what are the values of a, b, c, d?

Solution

(2x-3)^3   = (2x)^3 -(3)^3 -3*2x*3(2x-3)

= 8x^3 -27 -54x^2+54x

=8x^3 -36x^2+54x-27

when we will compare with ax^3+bx^2+cx+d

so a= 8, b= -36, c= 54 and d= -27