Rational Expresslons
Simplifying a ratio of polynomials by factoring a quadratic with leading...

Simplify.
$\frac{v - 5}{v^{2} - 10 v + 25}$

Answer

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Answer

The simplified form of the given expression is $\frac{1}{v - 5}$ .

Steps

Step 1 ：The given expression is a ratio of two polynomials. The denominator is a quadratic expression.

Step 2 ：We can simplify this expression by factoring the quadratic in the denominator. The quadratic is a perfect square trinomial, which can be factored into $(v - 5)^{2}$ .

Step 3 ：After factoring, we can cancel out the common terms in the numerator and the denominator.

Step 4 ：The simplified form of the given expression is $\frac{1}{v - 5}$ .

Rational ExpresslonsSimplifying a ratio of polynomials by factoring a quadratic with leading... Simplify.v−5v2−10v+25

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Rational Expresslons
Simplifying a ratio of polynomials by factoring a quadratic with leading...

Simplify.
$\frac{v - 5}{v^{2} - 10 v + 25}$