One of the factors of (1 +3x)2 + (9x2 -1) is :(a) 1-3x (b) 3-x(c) 3x+1 (d) x-3
Question
One of the factors of (1 +3x)2 + (9x2 -1) is :(a) 1-3x (b) 3-x(c) 3x+1 (d) x-3
Solution
To find the factors of the given expression, we need to simplify it first.
The given expression is (1 +3x)^2 + (9x^2 -1).
Let's simplify it:
(1 +3x)^2 + (9x^2 -1) = (1 + 6x + 9x^2) + (9x^2 - 1) = 18x^2 + 6x
Now, let's factorize it:
18x^2 + 6x = 6x(3x + 1)
So, the factors of the given expression are 6x and (3x + 1).
Therefore, the correct answer is (c) 3x+1.
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