Question

SOAL MATEMATIKA
AL-JABAR

1. HASIL DARI (3x - 4)(5 - 2x)

2.HASIL (x - 4y)(12x² - 16xy + 9y²)

3.Tuliskan hasil perkalian bentuk
Aljabar
(3k - 4)(1 - 2k)

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Answer 1

Verified answer

Soal 1.
= (a + b) (c + d )
= (a.c) + (a.d) + (b.c) + (b.d) 

= (3x - 4) (5 - 2x) 
= ((3x).(5)) + (3x.(-2x)) + ((-4).(5)) + ((-4).(-2x))
= (15x) + (-6x²) + (-20) + (8x)
= -6x² + 23x - 20

Soal 2.
= (a + b) (c + d + e)
= (a.c) + (a.d) + (a.e) + (b.c) + (b.d) + (b.e)

= (x - 4y) (12x² - 16xy + 9y²)
= ((x).(12x²)) + ((x).(-16xy)) + ((x).(9y²)) + ((-4y).(12x²)) + ((-4y).(-16xy)) + ((-4y).(9y²))
= (12x³) + (-16x²y) + (9xy²) + (-48x²y) + (64xy²) + (-36y²)
= (12x³) + ((-16x²y) + (-48x²y)) + ((9xy²) + (64xy²)) - 36y²
= 12x³ - 64x²y + 73xy² - 36y²

Soal 3.
= (3k - 4) (1 - 2k)
= ((3k).(1)) + ((3k).(-2k)) + ((-4).(1)) + ((-4).(-2k))
= (3k) + (-6k²) + (-4) + (8k)
= -6k² + 11k - 4