tentukan hasil penjumlahan bentuk aljabar berikut a(13a-8b)+(21a+9b) b(15i-14j+13k)+(-30i-45j+51k) c(3×-17y+352)+(4×23y-92)
Matematika
yuniar71
Pertanyaan
tentukan hasil penjumlahan bentuk aljabar berikut
a(13a-8b)+(21a+9b)
b(15i-14j+13k)+(-30i-45j+51k)
c(3×-17y+352)+(4×23y-92)
a(13a-8b)+(21a+9b)
b(15i-14j+13k)+(-30i-45j+51k)
c(3×-17y+352)+(4×23y-92)
1 Jawaban
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1. Jawaban aisah06
A. (13a-8b)+(21a+9b)
(13a×21a)(3a×9b)(-8b×21a)(-8b×9b)
=63a²+117ab-51ab-42b²
=63a²+66ab-72b²
B.(15i-14j+13k)+(-30i-45j+51k)
(15i×-30i)(15i×45j)(15i×51k)(-14j×-30i)(-14j×-45j)(-14×51k)(13k×-30i)(13k×-45j)(13k×51k)
=-450i²-675ij+765ik+420ij+630j²-714jk-390ik-585jk+663k²
=-450i²-675ij+420ij+765ik-390ik+630j²-714jk-585jk+663k²
=-450i²-255ij+375ik-630j²-1.383jk+663k²
C. (3x-17y+352)+(4x+23y-92)
(3x×4x)(3x×23y)(3x×-92)(-17y×4x)(-17y×23y)(-17x-92)(352×4x)(352×23y)(352×-92)
=12x²+69xy-207x-275xy-391y²+1.564y+1.408x+8.096y-32.384
=12x²+69xy-275xy-207x+1.408x-391y²+1.564y+8.096y-32.384
=12x²-206xy+1.201x-391y²+9.660y-32.384
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