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Question
One of the factors of (25x2 – 1) + (1 + 5x)2 is ______.
Options
5 + x
5 – x
5x – 1
10x
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Solution
One of the factors of (25x2 – 1) + (1 + 5x)2 is 10x.
Explanation:
Now, (25x2 – 1) + (1 + 5x)2
= 25x2 – 1 + 1 + 25x2 + 10x ...[Using identity, (a + b)2 = a2 + b2 + 2ab]
= 50x2 + 10x
= 10x (5x + 1)
Hence, one of the factor of given polynomial is 10x.
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