Question

Answer? Having trouble understanding this question

Answer 1

`(k+5)/(k-2)`

Explanation:

`(1-(25)/(k^2) )/(1-(7)/(k)+(10)/(k^2) )`

multiply numerator and denominator by k² to eliminate fractions

=
`(k^2-25)/(k^2-7k+10)` ← factor numerator and denominator

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k² - 25 ← is a difference of squares

= (k - 5)(k + 5)

k² - 7k + 10

= (k - 5)(k - 2)

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=
`((k-5)(k+5))/((k-5)(k-2))` ← cancel (x - 5) on numerator / denominator

=
`(k+5)/(k-2)`