Question

one of the factor of(25x^2-1)+(1+5x)^2​

Answer 1

Step-by-step explanation:

(−25x

2

−1)+(1+5x)

2

=−25x

2

−1+1+25x

2

+10x

=10x

So, 10x is a factor of itself.

Hence, D is the correct option.

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Answer 2

Answer:

(25x²-1)+(1+5x)²

=[(5x)²-(1)²]+[1+5x]²

=(5x-1)(5x+1)+(1+5x)(1+5x)

take 1+5x common

=(1+5x)[(5x-1)+(5x+1)]

=(1+5x)(5x-1+5x+1)

=(1+5x)(10x).

so, factors of given eq are 10x & 1+5x.

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