Question

(x²-3x-10÷x²-4x+4)÷(x-5÷x²-2x)
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Answer 1

x^2-5x+2x-10. x-5.

= -------------------. ÷ ----------

x^2-2x-2x+4. x^2-2x

x(x-5)+2(x-5). x-5

= ----------------- ÷ --------

x(x-2)+2(x-2). x(x-2)

(x+2)(x-5). x-5

=. -------------. ÷. -------

(x+2)(x-2). x(x-2)

x-5. x(x-2)

= --------. ×.--------

x-2. x-5

= x. (ans).