What is the value of frac{2.75 times 2.75 tim | vedclass

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Question

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

Vedclass · Accepted Answer

$\frac{1}{2}$

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(B) Let $a = 2.75$ and $b = 2.25$.The given expression is of 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:$\frac{(a - b)(a^2 + ab + b^2)}{a^2 + ab + b^2} = a - b$.Now,substitute the values of $a$ and $b$ back:$2.75 - 2.25 = 0.5$.Since $0.5 = \frac{1}{2}$,the correct option is $B$.

What is the value of $\frac{2.75 \times 2.75 \times 2.75 - 2.25 \times 2.25 \times 2.25}{2.75 \times 2.75 + 2.75 \times 2.25 + 2.25 \times 2.25}$?

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