Jawaban:
Jika :
[tex] \sf \frac{ {a}^{3} - {b}^{3} }{ {a}^{2} + ab + {b}^{2} } = \frac{ {3}^{3} - {2}^{3} }{ {3}^{2} + (3)(2) + {2}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf = \frac{27 - 8}{9 + 6 + 4} \\ \sf = \frac{19}{15 + 4} \: \: \: \: \: \\ \sf = \frac{19}{19} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf = \red{1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \sf ( {x}^{3} - {y}^{3} ) : ( {x}^{2} + xy + {y}^{2} ) [/tex]
[tex] \sf = \frac{( {2.000.000}^{3} - {1.500.000}^{3} ) }{ ({2.000.000}^{2} + (2.000.000)(1.500.000) + {1.500.000}^{2} } [/tex]
[tex]\sf = \frac{( {2.0 \cancel{00.000}}^{3} - {1.5 \cancel{00.000}}^{3} ) }{ ({2.0 \cancel{00.000}}^{2} + (2.0 \cancel{00.000})(1.5 \cancel{00.000}) + {1.5 \cancel{00.000}}^{2} } [/tex]
[tex] \sf = ( \frac{( {20}^{3} - {15}^{3} )}{( {20}^{2} + (20)(15) + {15}^{2}) }) \: 00.000[/tex]
[tex] \sf = ( \frac{8.000 \: - \: 3.375}{400 \: + \: 300 \: + \: 225}) \: 00.000 [/tex]
[tex] \sf = ( \frac{4.625}{925}) \: 00.000 [/tex]
[tex] \sf = (5)00.000 [/tex]
[tex] \sf = \red{500.000}[/tex]
'비상' (Svt)
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Verified answer
Jawaban:
No 2.
Jika :
[tex] \sf \frac{ {a}^{3} - {b}^{3} }{ {a}^{2} + ab + {b}^{2} } = \frac{ {3}^{3} - {2}^{3} }{ {3}^{2} + (3)(2) + {2}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf = \frac{27 - 8}{9 + 6 + 4} \\ \sf = \frac{19}{15 + 4} \: \: \: \: \: \\ \sf = \frac{19}{19} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf = \red{1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
No 3.
[tex] \sf ( {x}^{3} - {y}^{3} ) : ( {x}^{2} + xy + {y}^{2} ) [/tex]
[tex] \sf = \frac{( {2.000.000}^{3} - {1.500.000}^{3} ) }{ ({2.000.000}^{2} + (2.000.000)(1.500.000) + {1.500.000}^{2} } [/tex]
[tex]\sf = \frac{( {2.0 \cancel{00.000}}^{3} - {1.5 \cancel{00.000}}^{3} ) }{ ({2.0 \cancel{00.000}}^{2} + (2.0 \cancel{00.000})(1.5 \cancel{00.000}) + {1.5 \cancel{00.000}}^{2} } [/tex]
[tex] \sf = ( \frac{( {20}^{3} - {15}^{3} )}{( {20}^{2} + (20)(15) + {15}^{2}) }) \: 00.000[/tex]
[tex] \sf = ( \frac{8.000 \: - \: 3.375}{400 \: + \: 300 \: + \: 225}) \: 00.000 [/tex]
[tex] \sf = ( \frac{4.625}{925}) \: 00.000 [/tex]
[tex] \sf = (5)00.000 [/tex]
[tex] \sf = \red{500.000}[/tex]
'비상' (Svt)