factorise the following
please solve this question
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Equation : (3x + 1)^2 - 4(x-1)^2
Answer : (11x+1) (7x+5)
Step-by-step explanation:
(3x + 1)^2 - 4(x-1)^2
[3(3x+1)]^2 - [2(x-1)]^2
(9x + 3)^2 - (2x-2)^2
We know a^2 - b^2 = (a+b) (a-b)
(9x + 3 +2x - 2) [9x + 3 -(2x-2)]
(9x + 3 +2x - 2) (9x + 3 - 2x + 2)
(9x + 2x +3 -2) (9x - 2x +3 + 2)
Required Answer:- (11x + 1) (7x + 5)
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