Simplify 1-xy/1-x^2y^2
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Solution:
(1-xy)/(1-x²y²)
=(1-xy)/[1²-(xy)²]
= (1-xy)/[(1+xy)(1-xy)]
/* We know the algebraic identity;
a²-b² = (a+b)(a-b) */
After cancellation, we get
= 1/(1+xy)
Therefore,
(1-xy)/(1-x²y²) = 1/(1+xy)
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