Question : Simplify the given expression.
$\frac{120 imes 120 imes 120-100 imes 100 imes 100}{120 imes 120+120 imes 100+100 imes 100}$
Option 1: 20
Option 2: 25
Option 3: 10
Option 4: 15

Question

Question : Simplify the given expression.
$\frac{120 imes 120 imes 120-100 imes 100 imes 100}{120 imes 120+120 imes 100+100 imes 100}$

Option 1: 20

Option 2: 25

Option 3: 10

Option 4: 15

Team Careers360 · Accepted Answer

Correct Answer: 20

Solution : Use identity: a³– b³ = (a – b)(a² + ab + b²)
$\frac{120 imes 120 imes 120-100 imes 100 imes 100}{120 imes 120+120 imes 100+100 imes 100}$
= $\frac{(120 -100) (120 imes 120+120 imes 100+100 imes 100)}{120 imes 120+120 imes 100+100 imes 100}$
= $20$
Hence, the correct answer is 20.

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Question : Simplify the given expression. 120×120×120−100×100×100120×120+120×100+100×100Option 1: 20Option 2: 25Option 3: 10Option 4: 15

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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