Question

33. Find the value of the expression below
(0.68)^3 +(0.67)^3-(0.5)^3
+(0.68)(0.67)(1.5)÷
(0.68) ^2+(0.67)^2+(0.5)^2 -(0.68)(0.67)
+(0.67)(0.5)+(0.68)(0.5)
(B) 1.85
(C) 0.51
(A) 0.49
(D) 0.85​

Answer 1

Answer:

(0.68)^3 +(0.67)^3-(0.5)^3

+(0.68)(0.67)(1.5)÷

(0.68) ^2+(0.67)^2+(0.5)^2 -(0.68)(0.67)

+(0.67)(0.5)+(0.68)(0.5)

we rewrite this equation

0.68)^3 +(0.67)^3+ ( - 0.5)^3

+(0.68)(0.67)(1.5)  ÷

(0.68) ^2+(0.67)^2+(0.5)^2 -(0.68)(0.67)

+(0.67)(0.5)+(0.68)(0.5)

use the formula $a^{3} + b^{3} + c^{3} - 3 a b c = (a+b+c) (a^{2}+ b^{2} +c^{2} - ab -bc-ca )$

Step-by-step explanation:

so  value of  $\frac{a^{3} + b^{3} + c^{3}}{a^{2}+b^{2} +c^{2} - ab -bc -ca } = (a+b+c)$

so answer is  (0.68+0.67- 0.5)= 1.3