x2+6x-5×2-25

Rewrite 25 as 52.

x2+6x-5×2-52

Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=x and b=5.

x2+6x-5(x+5)(x-5)

Simplify (x^2+6x-5)/(x^2-25)

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# Simplify (x^2+6x-5)/(x^2-25)

x2+6x-5×2-25

Rewrite 25 as 52.

x2+6x-5×2-52

Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=x and b=5.

x2+6x-5(x+5)(x-5)

Simplify (x^2+6x-5)/(x^2-25)