Matematika

Pertanyaan

sederhanakan pecahan bentuk aljabar berikut ini:
sederhanakan pecahan bentuk aljabar berikut ini:

1 Jawaban

  • 1. [tex]\frac{1}{x}+\frac{1}{3x}=\frac{3}{3x}+\frac{1}{3x}=\frac{3+1}{3x}=\frac{4}{4x}[/tex]
    2. [tex]\frac{x+3}{3}+\frac{x+5}{5}=\frac{5(x+3)}{3*5}+\frac{3(x+5)}{3*5}=\frac{5x+15}{15}+\frac{3x+15}{15}=\frac{5x+15+3x+15}{15}=\frac{8x+30}{15}[/tex]
    3. [tex]\frac{5}{x+3}-\frac{6}{x+4}=\frac{5(x+4)}{(x+3)(x+4)}-\frac{6(x+3)}{(x+3)(x+4)}=\frac{(5x+20)-(6x+18)}{(x+3)(x+4)}=\frac{-x-2}{(x+3)(x+4)}[/tex]

    5. [tex]\frac{3}{x^{2}-9}-\frac{2}{x-3}=\frac{3}{x^{2}-9}-\frac{2(x+3)}{(x-3)(x+3)}=\frac{3}{x^{2}-9}-\frac{2x+6}{x^{2}-9}=\frac{3-(2x+6)}{x^{2}-9}=\frac{-2x-3}{x^{2}-9}[/tex]