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

Math
Factor using the perfect square rule.
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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 .
Simplify the denominator.
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Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Multiply by .
Cancel the common factor of and .
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Reorder terms.
Factor out of .
Cancel the common factors.
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Cancel the common factor.
Rewrite the expression.
Simplify (25x^2+10x+1)/(1-25x^2)
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