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  • The expression <img alt="\left ( x+5 \right )^7-\left ( x-2 \right )^7" src="http://entrancecorner.oncodecogs.com/gif.latex?%5Cleft%20%28%20x&plus;5%20%5Cright%20%29%5E7-%5Cleft%20%28%20x-

The expression \left ( x+5 \right )^7-\left ( x-2 \right )^7 is always divisible by

Option: 1

3


Option: 2

5


Option: 3

7


Option: 4

11


Answers (1)

best_answer

As, (xn - yn) is always divisible by (x - y)

So, \left ( x+5 \right )^7-\left ( x-2 \right )^7 is always divisible by \left ( x+5-\left ( x-2 \right ) \right )= 7

Posted by

Divya Prakash Singh

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