(C) The given expression is in the form $\frac{a^3 - b^3}{a^2 + ab + b^2}$,where $a = 0.8$ and $b = 0.5$.We know the algebraic identity: $a^3 - b^3 =

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(C) The given expression is in the form $\frac{a^3 - b^3}{a^2 + ab + b^2}$,where $a = 0.8$ and $b = 0.5$.We know the algebraic identity: $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$.Therefore,$\frac{a^3 - b^3}{a^2 + ab + b^2} = a - b$.Substituting the values of $a$ and $b$:$0.8 - 0.5 = 0.3$.

Competitive Quantitative Aptitude Number system Simplification

Easy

The simplification of $\frac{0.8 \times 0.8 \times 0.8 - 0.5 \times 0.5 \times 0.5}{0.8 \times 0.8 + 0.8 \times 0.5 + 0.5 \times 0.5}$ gives:

A
$0.8$
B
$0.4$
C
$0.3$
D
$0.13$

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The simplification of $\frac{0.8 \times 0.8 \times 0.8 - 0.5 \times 0.5 \times 0.5}{0.8 \times 0.8 + 0.8 \times 0.5 + 0.5 \times 0.5}$ gives:

Similar Questions

$138.009 + 341.981 - 146.305 = 123.6 + ?$

What will come in place of the question mark (?) in the following expression?$(4444 \div 40) + (645 \div 25) + (3991 \div 26) = (?)$

$22 \frac{2}{9} + 33 \frac{4}{7} - ? = 28 \frac{4}{45}$

What is the difference between the biggest and the smallest fraction among $\frac{2}{3}, \frac{3}{4}, \frac{4}{5}$ and $\frac{5}{6}$?

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What will come in place of the question mark (?) in the following expression?
$(4444 \div 40) + (645 \div 25) + (3991 \div 26) = (?)$