(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

$69.69 - 51.54 + 73.64 = ? + 32.42$

$2439.97 - 1234.01 + 401.99 = ? + 989.99$

The least positive integer that should be subtracted from $3011 \times 3012$ so that the difference is a perfect square,is

Two-third of a positive number and $\frac{25}{216}$ of its reciprocal are equal. The number is

$A$ number,when divided by $729$,leaves a remainder of $56$. What will be the remainder if the same number is divided by $27$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module