Question

Q》The coefficient of x^2 in the expansion of (x - 2)^3 is :

a) 6
b) -6
c) 12
d) -12

Answer 1

apply the formula of (a-b) ^3 = a^3-3a^2b + 3ab^2-b^3

we have (x-2) ^3

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

= x^3+6x^2+12x+8

so cofficient of x^2 is 6

so ur answer is option A.6

I hope it helps !!!