Question

0.83×0.83×0.83+0.17×0.17×0.17÷0.83×0.83-0.83×0.17+0.17×0.17​

Answer 1

Given: The expression 0.83×0.83×0.83+0.17×0.17×0.17÷0.83×0.83-0.83×0.17+0.17×0.17​

To find: The final value?

Solution:

• Now we have given the term : 0.83×0.83×0.83+0.17×0.17×0.17÷0.83×0.83-0.83×0.17+0.17×0.17​.

• Let this term be denoted as S.

• So:

           S = 0.83×0.83×0.83+0.17×0.17×0.17÷0.83×0.83-0.83×0.17+0.17×0.17​

• Now solving this we get:

           S = 0.83×0.83×0.83 + 0.17×0.17×0.17  /  0.83×0.83 - 0.83×0.17 + 0.17×0.17​

           S = (0.83)³ + (0.17)³  /  (0.83)² - 0.83×0.17 + (0.17)²

• Now we know the formula for a^3 + b^3 = (a+b)(a^2-ab+b^2)

• So applying this, we get:

           S = ( 0.83+0.17 ) x (0.83)² - 0.83×0.17 + (0.17)² / (0.83)² - 0.83×0.17 + (0.17)²

• So cancelling the common terms, we get:

           S = ( 0.83+0.17 )

S = 1.00

Answer:

             So the value of the given term is 1.