Question

10(3x+1/x)²-(3x+1/x)-3 factorise ​

Answer 1

10(3x+1/x)²- (3x+1/x)-3

Let ,

(3x+1/x) = P

=> P = (3x^2 + 1)/x

so,

10P^2 - P - 3

= 10P^2 - 6P + 5P - 3

= 2P (5P - 3) - 1 (5P - 3)

= (5P - 3) (2P - 3)

put the value of P ,

(5(3x^2 + 1)/x - 3} {(2(3x^2 + 1)/x - 3}

= {(15x^2 + 5 - 3x)/x}. {(6x^2 + 2 - 3x)/x}