(0.83 times 0.83 times 0.83 + 0.17 times 0.17 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let $a = 0.83$ and $b = 0.17$.The expression is $a^3 + b^3$.We know that $a + b = 0.83 + 0.17 = 1$.Using the identity $a^3 + b^3 = (a + b)(a^2 - a

Vedclass · Accepted Answer

$1 - 0.51 	imes 0.83$

Vedclass · Answer

(B) Let $a = 0.83$ and $b = 0.17$.The expression is $a^3 + b^3$.We know that $a + b = 0.83 + 0.17 = 1$.Using the identity $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$:Since $a + b = 1$,we have $a^3 + b^3 = a^2 - ab + b^2$.Also,$(a + b)^2 = a^2 + 2ab + b^2 = 1^2 = 1$.Therefore,$a^2 + b^2 = 1 - 2ab$.Substituting this into the expression: $a^3 + b^3 = (1 - 2ab) - ab = 1 - 3ab$.Now,calculate $3ab = 3 	imes 0.83 	imes 0.17 = 0.83 	imes 0.51$.Thus,the expression equals $1 - 0.51 	imes 0.83$.

$(0.83 \times 0.83 \times 0.83 + 0.17 \times 0.17 \times 0.17)$ is equal to ...........

Similar Questions

In a Mathematics examination,the marks scored by $5$ candidates are $5$ successive odd integers. If their total marks are $185,$ the highest score is

If the sum of one-half and one-fifth of a number exceeds one-third of that number by $7 \frac{1}{3},$ the number is

$2 \times 256 \times ? = 8^{2} \times 10^{2} \times 2$

If the difference between a number and $\frac{3}{5}$ of the same number is $30$,then find the number.

How many numbers are there between $1$ and $200$ which are divisible by $3$ but not by $7$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module