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Question : Simplify the given expression.
$\frac{120 \times 120 \times 120-100 \times 100 \times 100}{120 \times 120+120 \times 100+100 \times 100}$
Option 1: 20
Option 2: 25
Option 3: 10
Option 4: 15
Answer (1)
Correct Answer: 20
Solution : Use identity: a3 – b3 = (a – b)(a2 + ab + b2)
$\frac{120 \times 120 \times 120-100 \times 100 \times 100}{120 \times 120+120 \times 100+100 \times 100}$
= $\frac{(120 -100) (120 \times 120+120 \times 100+100 \times 100)}{120 \times 120+120 \times 100+100 \times 100}$
= $20$
Hence, the correct answer is 20.
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