Question

Sederhanakanlah

1 1
__________+ _________
X² + 2x + 1 x² - 1

Caranya ditulis ya ^^

Answer 1

1/(x²+ 2x+1)+  1/(x²-1) = 
= {(x² -1) +(x² + 2x +1)}/ (x²+2x+1)(x²-1)
= ( 2x² + 2x) / (x+1)²(x+1)(x-1)
= 2x(x+1) / (x+1)²(x+1)(x-1)
= 2x / (x+1)(x+1)(x-1)
= 2x /(x+1)(x²-1)
= 2x /(x³+ x²- x - 1)