If x/a = y/b, a + b ≠ 0, show that \frac{x^2 + a^2}{x + a} + \frac{y^2 + b^2}{y + b} =\frac{(x+y)^2+(a+b)^2}{(x+y)+(a+b)}x+ax2+a2+y+by2+b2=(x+y)+(a+b)(x+y)2+(a+b)2
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