Question : Simplify the given expression.
$\frac{0.24 \times 0.24 \times 0.24 - 0.008}{0.24 \times 0.24 + 0.048 + 0.04}$
Option 1: 0.04
Option 2: 0.02
Option 3: 0.01
Option 4: 0.03

Question

Question : Simplify the following expression. $\frac{(0.96 \times 0.96 \times 0.96 + 0.04 \times 0.04 \times 0.04)}{(0.96 \times 0.96 - 0.96 \times 0.04 + 0.04 \times 0.04)}$
Option 1: 0
Option 2: 0.82
Option 3: 2
Option 4: 1

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Answer 1

Correct Answer: 0.04

Solution : $\frac{0.24 \times 0.24 \times 0.24 - 0.008}{0.24 \times 0.24 + 0.048 + 0.04}$
= $\frac{{0.24}^{3} - {0.2}^{3}}{0.24 \times 0.24 + 0.048 + 0.04}$
Using identity: $(a^{3} - b^{3}) = (a - b) (a^{2} + b^{2} + a b)$
= $\frac{(0.24 - 0.2) ({0.24}^{2} + 0.24 \times 0.2 + {0.2}^{2})}{0.24 \times 0.24 + 0.048 + 0.04}$
= 0.24 – 0.2
= 0.04
Hence, the correct answer is 0.04.

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Question : Simplify the given expression. 0.24×0.24×0.24−0.0080.24×0.24+0.048+0.04Option 1: 0.04Option 2: 0.02Option 3: 0.01Option 4: 0.03

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Question : Simplify the given expression.
$\frac{0.24 \times 0.24 \times 0.24 - 0.008}{0.24 \times 0.24 + 0.048 + 0.04}$
Option 1: 0.04
Option 2: 0.02
Option 3: 0.01
Option 4: 0.03