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

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One of the factors of `(25 x^(2)-1) +(1+5x)^(2)` is
A. `5+x`
B. `5-x`
C. `5x-1`
D. `10x`
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Correct Answer - 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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