The correct option is A 90 5^3 2^3 3^3=(2+3)^3 2^3 3^3⇒ (2^3+3^3+3×2×3(2+3)) 2^3 3^3→⇒ 3×2×3(2+3)⇒ 90 ...

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Exponent

Evaluate: 5...

Question

Evaluate: $5^{3} - 2^{3} - 3^{3}$

90

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- 90

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120

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None of these

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Solution

The correct option is A $90$
$5^{3} - 2^{3} - 3^{3} = (2 + 3)^{3} - 2^{3} - 3^{3} \Rightarrow (2^{3} + 3^{3} + 3 \times 2 \times 3 (2 + 3)) - 2^{3} - 3^{3} \to\Rightarrow 3 \times 2 \times 3 (2 + 3) \Rightarrow 90$

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