buktikan bahwa(a²-b²),2ab,(a²+b²) membentuk tripel pytagoras
Matematika
liyanamaeda
Pertanyaan
buktikan bahwa(a²-b²),2ab,(a²+b²) membentuk tripel pytagoras
1 Jawaban
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1. Jawaban yumnaadibah199
[tex]{( {a }^{2} + {b}^{2} )}^{2} = {( {a}^{2} - {b}^{2})}^{2} + ( {2ab)}^{2} \\ {a}^{4} + 2 {a}^{2} {b}^{2} + {b}^{4} = {a}^{4} - 2 {a}^{2} {b}^{2} + {b}^{4} + 4 {a}^{2} {b}^{2} \\ {a}^{4} + 2 {a}^{2} {b}^{2} + {b}^{4} = {a}^{4} + 2 {a}^{2} {b}^{2} + {b}^{4}[/tex]