1. 5q – 5p²q + 2pq² – 2q – 3pq² + q↔ (5q – 2q + q) – 5p²q + (2pq² – 3pq²)↔ 4q – 5p²q – pq² Jawab: C 2. 3(2m + n) + 2(5m – 4n) = 6m + 3n + 10m – 8n = (6m + 10m) + (3n – 8n) = 16m – 5n Jawab: D 3. Jika a = 2y + 3x² – xy dan b = x² + 2xy – 3y, maka 3a – 2b = 3(2y + 3x² – xy) – 2(x² + 2xy – 3y) = (6y + 9x² – 3xy) – (2x² + 4xy – 6y) = 6y + 9x² – 3xy – 2x² – 4xy + 6y = 12y + 7x² – 7xy Jawab: A
4.(3 – 2x)(4x – 5) = 12x – 15 – 8x² + 10x = -8x² + 22x – 15 Jawab: D 5. (3 – a)(3a + 4)(a – 5) = (9a + 12 – 3a² – 4a)(a – 5) = (5a + 12 – 3a²)(a – 5) = 5a² – 25a + 12a – 60 – 3a³ + 15a² = -3a³ + 20a² – 13a – 60 Jawab: C Kerjakan sisanya sebagai latihan ya. 6. B 7. C 8. C 9. C 10. D
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1. 5q – 5p²q + 2pq² – 2q – 3pq² + q
↔ (5q – 2q + q) – 5p²q + (2pq² – 3pq²)
↔ 4q – 5p²q – pq²
Jawab: C
2. 3(2m + n) + 2(5m – 4n)
= 6m + 3n + 10m – 8n
= (6m + 10m) + (3n – 8n)
= 16m – 5n
Jawab: D
3. Jika a = 2y + 3x² – xy dan b = x² + 2xy – 3y, maka
3a – 2b
= 3(2y + 3x² – xy) – 2(x² + 2xy – 3y)
= (6y + 9x² – 3xy) – (2x² + 4xy – 6y)
= 6y + 9x² – 3xy – 2x² – 4xy + 6y
= 12y + 7x² – 7xy
Jawab: A
4.(3 – 2x)(4x – 5)
= 12x – 15 – 8x² + 10x
= -8x² + 22x – 15
Jawab: D
5. (3 – a)(3a + 4)(a – 5)
= (9a + 12 – 3a² – 4a)(a – 5)
= (5a + 12 – 3a²)(a – 5)
= 5a² – 25a + 12a – 60 – 3a³ + 15a²
= -3a³ + 20a² – 13a – 60
Jawab: C
Kerjakan sisanya sebagai latihan ya.
6. B
7. C
8. C
9. C
10. D