Tunjukan bahwa (m²+n²)²=(m²-n²)²+(2mn)²
Matematika
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Tunjukan bahwa (m²+n²)²=(m²-n²)²+(2mn)²
1 Jawaban
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1. Jawaban qqkurniadi445
[tex](m^{2} + n^{2})(m^{2} + n^{2}) = (m^{2} - n^{2})(m^{2} - n^{2}) + (2mn)(2mn) \\ m^{4} + m^{2}n^{2} +m^{2}n^{2} + n^{4} = m^{4} - m^{2}n^{2} - m^{2}n^{2} + n^{4} + 4m^{2}n^{2} \\ m^{4} + 2m^{2}2n^{2} + n^{4} = m^{4} - 2m^{2}2n^{2} + n^{4} + 4m^{2}n^{2} \\ m^{4} + 2m^{2}2n^{2} + n^{4} = m^{4} + 2m^{2}n^{2} + n^{4}[/tex]
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