Question

find the value of
(106-94)³ ​

Answer 1

Step-by-step explanation:

2 methods can be applied to find the ans :-

1st method

${106 - 94}^{3} = {12}^{3} = 1728$

2nd method

Identity

${(a - b)}^{3} = {a}^{3} - {b}^{3} - 3ab(a - b)$

I hope u understood.

Answer 2

Using (a^3- b^3)= a^3 -b^3 -3a^2b + 3b^2a
a=106
b=94
= (106)^3 - (94)^3 - 3 (106)^2(94) + 3(94)^2(106)
=1191016 - 830584 - 3168552 + 2809848
= 1191016 -830584-358704
= 360432-358704
= 1728
This is the answer...