Simplify (1/(k+2))/(5/(k^2-4))

Math
1k+25k2-4
Multiply the numerator by the reciprocal of the denominator.
1k+2⋅k2-45
Simplify the numerator.
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Rewrite 4 as 22.
1k+2⋅k2-225
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=k and b=2.
1k+2⋅(k+2)(k-2)5
1k+2⋅(k+2)(k-2)5
Cancel the common factor of k+2.
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Cancel the common factor.
1k+2⋅(k+2)(k-2)5
Rewrite the expression.
k-25
k-25
Simplify (1/(k+2))/(5/(k^2-4))

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