Question

Sederhanakan bentuk-bentuk aljabar berikut
1. 2x + 3y − 4x − 5y
2. 9x² + 7x³ − 8x² − 5x³
3. 7a(1+ b)− 3b(1+ a)
4.(3b-bx)/(cx-3c)
5.3/(x+1)+3/(x-1)
6.x/(x+y)+y/(x-y)

Answer 1

1. 2x - 4x + 3y - 5y = - 2x - 2y

2. 9x² + 7x³ − 8x² − 5x³ = 2x³ + x²

3. 7a(1+ b)− 3b(1+ a) = 7a + 7ab - 3b - 3ab
= 4ab + 7a - 3b

4. (3b-bx)/(cx-3c) = b(3 - x) / c(x - 3)
= - b(x - 3) / c(x - 3)
= - b/c

5. 3/(x+1)+3/(x-1) = (3x - 3 + 3x + 3) / (x² - 1)
= (6x)/(x² - 1)

6. x/(x+y)+y/(x-y) = (x² - xy + xy + y²) / (x² - y²)
= (x² + y²) / (x² - y²)

Answer 2

1. 2x + 3y - 4x - 5y = -2x - 2y
2. 9x² + 7x³ - 8x² - 5x³ = 9x² - 8x² + 7x³ - 5x³ = x² + 2x³
3. 7a (1 + b) - 3b (1+a) = (7a + 7ab) -  (3b + 3ab ) 
                                  = 7a + 7ab - 3b + 3ab
                                  = 7a + 7ab + 3ab - 3b
                                  = 7a + 10b - 3b
5. 3 / (x+1) + 3 / (x - 1) = 6 / x² - 1
6. x / (x + y) + y /(x - y) = 1 / x - y
        atau = x + y / x² - y²