Question

Penjumlahan dan pengurangan pecahan aljabar
1.1/a + 3/ab
2.3/x-4 - x/x²-3x-4
perkalian pecahan aljabar
1.8/3a+6 x a+2/4
pembagian pecahan aljabar
1.m/m-5 : 3m/m+4

Answer 1

1. 1/a + 3/ab
=b/ab + 3/ab
=(3+b)/ab

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

1.8 8/(3a+6) . (a+2)/4
= (8a+16) / (12a+24)
= 8(a+2) / 12(a+2)
=2/3

Answer 2

1. 1/a + 3/ab
=b/ab + 3/ab
=(3+b)/ab

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

1.8 8/(3a+6) . (a+2)/4
= (8a+16) / (12a+24)
= 8(a+2) / 12(a+2)
=2/4