One of the factors of $(- 25 x^{2} - 1) + (1 + 5 x)^{2}$ is

5 + x

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5 - x

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5 x - 1

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10 x

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Solution

The correct option is D $10 x$
$(- 25 x^{2} - 1) + (1 + 5 x)^{2}$
$= - 25 x^{2} - 1 + 1 + 25 x^{2} + 10 x$
$= 10 x$
So, $10 x$ is a factor of itself.
Hence, D is the correct option.

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Similar questions

One of the factors of $(25 x^{2} - 1) + (1 + 5 x)^{2}$ is
(a) 5+x (b) 5-x (c) 5x-1 (d) 10x

One of the factors of $(25 x^{2} - 1) + (1 + 5 x)^{2}$ is

A) $5 + x$
B) $5 - x$
C) $5 x - 1$
D) $10 x$

(25 x^{2} - 1) + (1 + 5 x)^{2}

5 + x

5 - x

5 x - 1

10 x

One of the factors of $(25 x^{2} - 1) + (1 + 5 x)^{2}$ is

(25 x^{2} - 1) + (1 + 5 x^{2})

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