Question

Simplify:-

1/x+1 + 1/x-1 + 2x/x²+1 + 4x³/x⁴+1​

Answer 1

You can send me full page photo

Answer 2

1/(x+1) + 1/(x-1) + 2x/(x^2+1) + 4x^3 /(x^4 + 1)

= (x - 1 + x + 1)/(x+1)(x-1) + 2x/(x^2+1) + 4x^3 /(x^4 + 1)

= 2x/(x^2 - 1) + 2x/(x^2+1) + 4x^3 /(x^4 + 1)

= 2x(x^2 + 1 + x^2 - 1)/(x^2+1)(x^2-1) + 4x^3 /(x^4 + 1)

= 2x*2x^2 /(x^4 - 1) + 4x^3 /(x^4 + 1)

= 4x^3/(x^4 - 1) + 4x^3 /(x^4 + 1)

= 4x^3 (x^4 + 1 + x^4 - 1)/(x^4-1)(x^4+1)

= 4x^3* 2x^4 (x^8 - 1)

= 8x^7 / (x^8 - 1)