tolong dijawab ya kakak-kakak, serta cara dan prosesnya.
Penjelasan dengan langkah-langkah:
[tex] {( {x}^{3} + \frac{2}{ {x}^{2} }) }^{8} = {( {x}^{3} + {2}{ {x}^{ - 2} }) }^{8} \\ \\ = {(x}^{3} {)}^{8} + 8 {(x ^{3}) }^{7} (2 {x}^{ - 2} {)}^{} + 28 {(x ^{3})}^{6} (2x {}^{ - 2 {)}^{2} } \\ + 56 {(x ^{3})}^{5}(2 {x}^{ - 2} {)}^{3} + 70 {(x ^{3})}^{4} {(2 {x}^{ - 2}) }^{4} \\ + 56 {(x ^{3})}^{3} {(2 {x}^{ - 2}) }^{5} + 28 {(x ^{3})}^{2}( {2x}^{ - 2} {)}^{6} \\ + 8(x ^{3})( {2x}^{ - 2} {)}^{7} + ( {2x}^{ - 2} {)}^{8} \\ \\ = {x}^{24} + 16 {x}^{19} + 112 {x}^{14} \\ + 448 {x}^{9} + 1120 {x}^{4} + \\ {1792x}^{ - 1} + 1792 {x}^{ - 6} \\ + 1024 {x}^{ - 11} + 256 {x}^{ - 16} \\ \\ [/tex]
koefisien x⁴ = 1120
koefisien x-¹ = 1792
x⁴ : x-¹ = 1120 : 1792 = 5 : 8
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