On simplification of frac{(2.644)^{2}-(2.356) | vedclass

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Question

(C) The expression is in the form $\frac{a^2 - b^2}{a - b}$,where $a = 2.644$ and $b = 2.356$.Using the algebraic identity $a^2 - b^2 = (a - b)(a + b)

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(C) The expression is in the form $\frac{a^2 - b^2}{a - b}$,where $a = 2.644$ and $b = 2.356$.Using the algebraic identity $a^2 - b^2 = (a - b)(a + b)$,we can rewrite the numerator as $(2.644 - 2.356)(2.644 + 2.356)$.Substituting this into the expression: $\frac{(2.644 - 2.356)(2.644 + 2.356)}{0.288}$.Since $2.644 - 2.356 = 0.288$,the expression becomes $\frac{0.288 	imes (2.644 + 2.356)}{0.288}$.Canceling $0.288$ from the numerator and denominator,we get $2.644 + 2.356 = 5$.

On simplification of $\frac{(2.644)^{2}-(2.356)^{2}}{0.288},$ we get

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