Question

Assalamualaikum kakak semua..
yang pintar aljabar tolong aku donk...
aku nggk tau cara nya...
#tolong penjelasannya
#tolong jawaban nya tepat kak..
terima kasih ^_^​

Answer 1

• (D). [tex]\frac{ - 4x}{{x}^{2} - 1} [/tex]

PEMBAHASAN :

• [tex]\frac{x - 1}{x + 1} - \frac{x + 1}{x - 1} [/tex] [tex]= \frac{(x - 1)(x - 1)}{(x + 1)(x - 1)} - \frac{(x + 1)(x + 1)}{(x - 1)(x + 1)} [/tex]
• [tex]= \frac{({x}^{2} - x - x + 1)}{({x}^{2} - x + x - 1)} - \frac{({x}^{2} + x + x + 1)}{({x}^{2} + x - x - 1)} [/tex]
• [tex]= \frac{({x}^{2} - 2x + 1)}{({x}^{2} - 1)} - \frac{({x}^{2} + 2x + 1)}{({x}^{2} - 1)} [/tex]
• [tex]= \frac{({x}^{2} - 2x + 1) - ({x}^{2} + 2x + 1)}{({x}^{2} - 1)} [/tex]
• [tex]= \frac{{x}^{2} - 2x + 1 - {x}^{2} - 2x - 1}{{x}^{2} - 1} [/tex]
• [tex]= \frac{{x}^{2} - {x}^{2} - 2x - 2x + 1 - 1}{{x}^{2} - 1} [/tex]
• [tex]= \frac{ - 4x}{{x}^{2} - 1} [/tex]