Question

已知5x-4y=0,切xy≠0,求(x平方-y平方)分之(x平方+y平方)-(x-y)分之(x+y)的值

Answer 1

已知5x-4y=0,切xy≠0,

x/y=4/5;

求(x平方-y平方)分之(x平方+y平方)-(x-y)分之(x+y)的值

=(x²+y²)/(x²-y²)-(x+y)²/(x²-y²)

=(x²+y²-x²-y²-2xy)/(x²-y²)

=-2xy/(x²-y²)

=-2x/y/(x²/y²-1)

=-2×(4/5)/(16/25-1)

=-8/5÷(-9/25)

=40/9;

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