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Matematika
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Pertanyaan
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1 Jawaban
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1. Jawaban cupid85
1) 4 / (-6x + 3y) × (2x + 6x) / 2
= 4(2x + 6x)
-------------------------
(-6x + 3y) 2
= 4 (8x)
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- 12x + 6y
= 32x
----------
- 12x + 6y
= 2 . 16x
--------------------
2 ( - 6x + 3y)
= 16x
-------------------
- 6x + 3y
2) 10x - 15y
------------------
5
= 5 (2x - 3y)
-------------------
5
= 2x - 3y
3) (p - q)(2q - 3p)
= (p . 2q) + (-q . 2q) + (-3p . - p) + ( -q.-3p)
= 2pq - 2q² + 3p² + 3pq
= - 2q² + 5pq + 3p²
4) 5(x + 2y) + 3(y - 2x)
= 10x + 10y + 3y - 6x
= 4x + 13y
5) 7 (x² + x + 2) - 2(x² - 3x - 5)
= 7x² + 7x + 14 - 2x² + 6x + 10
= 5x² + 13x + 24
6) 3 (2x - y) - 5(x - y)
= 6x - 3y - 5x + 5y
= x + 2y
7) 15a³b² = 3 . 5 . a³ . b²
18ab⁴ = 2 . 3² . a . b⁴
kpk = 2 . 3² . 5 . a³ . b⁴ = 90a³b⁴
8) 45xy² = 3² . 5 . x . y²
75yz³ = 3 . 5² . y . z³
FPB = 3 . 5 . y = 15y
9) P - 3Q
= (3x² - x - 6) - 3(x² - 7x + 12)
= 3x² - x - 6 - 3x² + 21x - 36
= 20x - 42
10) 2a(ab + 3a + b²) - b(a² - ab + b)
= 2a²b + 6a² + 2ab² - a²b + ab² - b²
= a²b + 6a² + 3ab² - b²