Question

Yg tau bantu jawab ya

Answer 1

Verified answer

1. 8/2x = 4/x

2. 3/(x+2) + 2/(x-3)
= 3(x-3)/(x+2)(x-3) + 2(x+2)/(x+2)(x-3)
= (3x-9)/(x^2-x-6) + (2x+4)/(x^2-x-6)
= (x-5)/(x^2-x-6)

3. 4/(x+3) - 5/(x-1)
= 4(x-1)/(x+3)(x-1) - 5(x+3)/(x+3)(x-1)
= (4x-4)/(x^2+2x-3) - (5x+15)/(x^2+2x-3)
= (-x-19)/(x^2+2x-3)

4. 2a/3x × (2x-6xy)/12a
= 1/3x × (2x(1-y))/6
= (1-y)/9

5. 12/(x-3)(x+3) : 3/(x+3)
= 12/(x-3)(x+3) × (x+3)/3
= 4/(x-3)

6. 1/(x+y) - 2/(x-y)
= (x-y)/(x+y)(x-y) - (2x+2y)/(x+y)(x-y)
= (-x-3y)/(x+y)(x-y)

3/(x-y) + 4/(x+y)
= (3x+3y)/(x-y)(x+y) + (4x-4y)/(x-y)(x+y)
= (7x-y)/(x-y)(x+y)

(-x-3y)/(x+y)(x-y) : (7x-y)/(x-y)(x+y)
= (-x-3y)/(x+y)(x-y) : (x-y)(x+y)/(7x-y)
= (-x-3y)/(7x-y)