The value of frac{2.75 times 2.75 times 2.75 | vedclass

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Question

(B) Let $a = 2.75$ and $b = 2.25$.The given expression is in the form $\frac{a^3 - b^3}{a^2 + ab + b^2}$.We know the algebraic identity $a^3 - b^3 = (

Vedclass · Accepted Answer

$0.50$

Vedclass · Answer

(B) Let $a = 2.75$ and $b = 2.25$.The given expression is in the form $\frac{a^3 - b^3}{a^2 + ab + b^2}$.We know the algebraic identity $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$.Substituting this into the expression,we get $\frac{(a - b)(a^2 + ab + b^2)}{a^2 + ab + b^2}$.Canceling the common term $(a^2 + ab + b^2)$,the expression simplifies to $a - b$.Substituting the values back: $2.75 - 2.25 = 0.50$.

The value of $\frac{2.75 \times 2.75 \times 2.75 - 2.25 \times 2.25 \times 2.25}{2.75 \times 2.75 + 2.75 \times 2.25 + 2.25 \times 2.25}$ is:

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