Rewrite as .

Rewrite as .

Check the middle term by multiplying and compare this result with the middle term in the original expression.

Simplify.

Factor using the perfect square trinomial rule , where and .

Rewrite as .

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Multiply by .

Reorder terms.

Factor out of .

Cancel the common factors.

Cancel the common factor.

Rewrite the expression.

Simplify (25x^2+10x+1)/(1-25x^2)