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
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Correct Answer: 20
Solution :
Use identity: a
3
– b
3
= (a – b)(a
2
+ ab + b
2
)
$\frac{120 \times 120 \times 120-100 \times 100 \times 100}{120 \times 120+120 \times 100+100 \times 100}$
= $\frac{(120 -100) (120 \times 120+120 \times 100+100 \times 100)}{120 \times 120+120 \times 100+100 \times 100}$
= $20$
Hence, the correct answer is 20.
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