Question

If m = (3x-1) and n = (3x+1),sh
ow that x² = mn+1 by 9​

Answer 1

Explanation:

m= (3x-1), n= (3x+1)

LHS= x²

RHS= mn+1/9

=
`((3x+1)(3x-1)+1)/(9)`

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

=
`(9x^(2) -1+1)/(9)`

=
`(9x^(2) )/(9)`

=x²/1= x²

∴LHS=x²=x²= RHS

Hence proved