Question

The fraction (a-2-b-2)-1 divide by(a-1-b-1)-1 is equal to

Answer 1

Solution:

Given (a^-2 - b^-2)/(a^-1 - b^-1)

=(1/a² - 1/b²)/(1/a - 1/b)

/* a^-n = 1/aⁿ */

= [ (1/a)² - (1/b)²]/(1/a - 1/b)

=[(1/a+1/b)(1/a-1/b)]/(1/a-1/b)

After cancellation, we get

= (1/a + 1/b )

Or

= (b+a)/ab

= (a+b)/ab

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