Question

Tolong dibantu ya semuanya,buat latihan UAS

Answer 1

1. 8x² - 5x - 6x² - 5y + 3y²
= 8x² - 6x² - 5x - 5y + 3y²
= 2x² - 5x - 5y + 3y²

2. 4(-6x² - 5x + 3)
= - 24x² - 20x + 12

3. (2x + 5y)² + (2x - 5y)²
= 4x² + 20x + 25y² + 4x² - 20x + 25y²
= 8x² + 50y²

4. x² + 7x + 12 = (x + 4)(x + 3)

5. (x² - 9)/(x² + x - 6)
= (x + 3)(x - 3) / (x + 3)(x - 2)
= (x - 3) / (x - 2)

6. (6x + 18)/(x² - 25) : (2x + 6)/(3x + 15)
= 6(x + 3)/(x + 5)(x - 5) * 3(x + 5)/2(x + 3)
= 9/(x - 5)

7. (4x - 3)(5x² - 7x + 1)
= 20x³ - 28x² + 4x - 15x² + 21x - 3
= 20x³ - 43x² + 25x - 3

8. (2x + 5) + (3x - 10)
= 5x - 5

9. 2a(3a²b + 3ab² - a²b - 4ab²) = 6a³b + 6a²b² - 2a³b - 8a²b²

10. -x² + x + 20 = (- x - p)(x - q)
                       = - x² + (q - p)x + pq
q - p = 1
pq = 20 = 5.4
q = 5
p = 4

11. 4x² + 4x + 1 = (ax + 1)(ax + 1)
                        = a²x² + 2ax + 1
a² = 4
a = 2

12. x² - x + c = (- x + 3)(- x - 2)
                    = x² - x - 6
c = - 6

13. 2(4x - 3) - 3(5x - 7)
= 8x - 6 - 15x + 21
= - 7x + 15

14. (3x² + 2x - 5) - (6x² - 2x + 7)
= - 3x²+ 4x - 12