The value of frac{(0.67 times 0.67 times 0.67 | vedclass

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Question

(B) Let $a = 0.67$ and $b = 0.33$.The given expression is in the form $\frac{a^3 - b^3}{a^2 + ab + b^2}$.Using the algebraic identity $a^3 - b^3 = (a

Vedclass · Accepted Answer

$0.34$

Vedclass · Answer

(B) Let $a = 0.67$ and $b = 0.33$.The given expression is in the form $\frac{a^3 - b^3}{a^2 + ab + b^2}$.Using the algebraic identity $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$,we can simplify the expression:$\frac{(a - b)(a^2 + ab + b^2)}{a^2 + ab + b^2} = a - b$.Substituting the values of $a$ and $b$ back into the simplified expression:$a - b = 0.67 - 0.33 = 0.34$.

The value of $\frac{(0.67 \times 0.67 \times 0.67)-(0.33 \times 0.33 \times 0.33)}{(0.67 \times 0.67)+(0.67 \times 0.33)+(0.33 \times 0.33)}$ is:

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