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Soal dan Pembahasan Kalkulus Purcell Bab 0.1

Dalam soal-soal 1-16, sederhanakan sebanyak mungkin. Pastikan untuk menghilangkan semua tanda kurung dan menyederhanakan semua pecahan.

  1. 4-2(8-11)+6

4-2(8-11)+6=4-2(-3)+6 =4+6+6=16

2. 3[2-4(7-12)]

3[2-4(7-12)]=3[2-4(-5)]=3[2+20]=3[22]=66

3. -4[5(-3+12-4)+2(13-7)]

-4[5(-3+12-4)+2(13-7)]=-4[5(5)+2(6)]=-4[25+12]=-4[37]=-148

4. 5[-1(7+12-16)+4]+2

5[-1(7+12-16)+4]+2=5[-1(3)+4]+2=5[1]+2=7

5. \frac{5}{7}-\frac{1}{13}=\frac{65-7}{91}=\frac{58}{91}

6.\frac{3}{4-7}+\frac{3}{21}-\frac{1}{6}=

\frac{3}{4-7}+\frac{3}{21}-\frac{1}{6}=\frac{3}{-3}+\frac{1}{7}-\frac{1}{6}=-1+\frac{1}{7}-\frac{1}{6}=\frac{-42}{42}+\frac{6}{42}-\frac{7}{42}=\frac{-43}{42}

 

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