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One of the factors of (25 x^(2)-1) ...

One of the factors of `(25 x^(2)-1) +(1+5x)^(2)` is

A

`5+x`

B

`5-x`

C

`5x-1`

D

`10x`

Text Solution

Verified by Experts

The correct Answer is:
D
`(25x^2-1)+(1+5x)^2=(5x+1)(5x-1)(5x+1)^2`.
` =(5x+1)[(5x+1)+(5x+1)]=(5x+1)xx 10 x`.
`therefore 10x` is a factor of `{(25x^2-1)+(1+5x)}`.
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