Simplify frac{(0.9743)^{3}-(0.0257)^{3}}{(0.9 | vedclass

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Question

(A) Let $a = 0.9743$ and $b = 0.0257$.The given expression is of the form $\frac{a^3 - b^3}{a^2 + ab + b^2}$.Using the algebraic identity $a^3 - b^3 =

Vedclass · Accepted Answer

$0.9486$

Vedclass · Answer

(A) Let $a = 0.9743$ and $b = 0.0257$.The given expression is of 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 rewrite the expression as:$\frac{(a - b)(a^2 + ab + b^2)}{a^2 + ab + b^2} = a - b$.Substituting the values of $a$ and $b$:$0.9743 - 0.0257 = 0.9486$.

Simplify $\frac{(0.9743)^{3}-(0.0257)^{3}}{(0.9743)^{2}+(0.9743)(0.0257)+(0.0257)^{2}}$

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