Math Problem Statement

Subtract. StartFraction x squared plus 4 x Over x squared plus 6 x plus 5 EndFraction minus StartFraction x squared minus 4 Over x squared plus 6 x plus 5 EndFraction Question content area bottom Part 1 Select the correct choice below and fill in any answer boxes within your choice. ​(Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as​ needed.) A. StartFraction x squared plus 4 x Over x squared plus 6 x plus 5 EndFraction minus StartFraction x squared minus 4 Over x squared plus 6 x plus 5 EndFraction equals    enter your response here​, x not equals nothing    B. StartFraction x squared plus 4 x Over x squared plus 6 x plus 5 EndFraction minus StartFraction x squared minus 4 Over x squared plus 6 x plus 5 EndFraction equals    enter your response here​, no numbers must be excluded.

Solution

We are given the expression:

x2+4xx2+6x+5−x2−4x2+6x+5\frac{x^2 + 4x}{x^2 + 6x + 5} - \frac{x^2 - 4}{x^2 + 6x + 5}

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Math Problem Analysis

Mathematical Concepts

Algebra
Rational Expressions
Simplifying Fractions

Formulas

Subtraction of rational expressions: \frac{A}{B} - \frac{C}{B} = \frac{A - C}{B}

Theorems

Factoring Quadratic Expressions
Common Denominator Rule for Rational Expressions

Suitable Grade Level

Grades 9-12

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