Question : Simplify the given expression $\frac{4\left[(17)^3-(7)^3\right]}{(17)^2+(7)^2+119}$
Option 1: 40
Option 2: 50
Option 3: 60
Option 4: 30
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Correct Answer: 40
Solution :
Given, $\frac{4\left[(17)^3-(7)^3\right]}{(17)^2+(7)^2+119}$
= $\frac{4(17-7)((17)^2+(7)^2+(17)(7))}{(17)^2+(7)^2+(17)(7)}$
= $4×10$
= $40$
Hence, the correct answer is 40.
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