Question

Jabarkanlah bentuk perkalian berikut dengan menggunakan hukum distributif
1.(2x-5) (2x+3)
2.(8-5x) (9-5x)
3.(15+6p) (8-4p)
4.(8p+4q) (6p+7q)

Answer 1

1. (2x - 5) (2x + 3)
= (2x × 2x) (2x × 3)  (-5 × 2x) (-5 × 3)
= 4x² + 6x - 10x - 15
= 4x² - 4x - 15

2. (8 - 5x) (9 - 5x)
= (8 × 9) (8 × -5x)  (-5x × 9) (-5x × -5x)
= 72 - 40x - 45x + 25x
= -40x - 45x + 25x + 72
= -60x + 72

3. (15 + 6p) (8 - 4p)
= (15 × 8) (15 × -4p)  (6p × 8) (6p × -4p)
= 120 - 60p + 48p - 24p²
= -24p² - 12p + 120

4. (8p + 4q) (6p + 7q)
= (8p × 6p) (8p × 7q)  (4q × 6p) (4q × 7q)
= 48p² + 56pq + 24pq + 28q²
= 48p² + 28q² + 80pq