Bentuk sederhana aljabar x per x+y + y per x-y
Matematika
akurapopo442
Pertanyaan
Bentuk sederhana aljabar x per x+y + y per x-y
1 Jawaban
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1. Jawaban RexyGamaliel
[tex] \frac{x}{x + y} + \frac{y}{x - y} \\ = \frac{x(x - y) + y(x + y)}{(x + y)(x - y)} \\ = \frac{x^2 - xy + xy + y^2}{x^2 - xy + xy - y^2} \\ = \frac{x^2 + y^2}{x^2 - y^2} [/tex]