Question

Prove the polynomial identity

Answer 1

The steps have been shown in the solution below

Explanation:

`(3x+1)^(2) - 2(3x+1)=(3x+1)(3x-1)`

`9x^(2) +6x+1 -6x-2= (3x+1) (3x-1)\\\\9x^(2) -1=(3x+1)(3x-1)\\\\(3x+1)(3x-1)=(3x+1)(3x-1)\\`

LHS=RHS Hence, proved.