book Maths Puzzle Numerical Ability

If a and b are distinct real numbers such that a-b and a^2-b^2 are rational, must a and b be rational?

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I was wondering if you could help me with this problem. This one is on dividing rational expressions.

3x^2(x-4y)-20x(x-4)+25(x-4y)Over 3x^2(4y-x)-14x(4y-x)-5(4y-x) / 4x-1 Over 3x+1
3-4z=-5+8z