Math Problem Statement

Simplify the expression: [(x-5)(x+3)] / [(x-4)(x+2)] - 9 / [(x+3)(x+2)]

Solution

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From the image, the mathematical expression appears to be something like:

(x−5)(x+3)(x−4)(x+2)−9(x+3)(x+2).\frac{(x-5)(x+3)}{(x-4)(x+2)} - \frac{9}{(x+3)(x+2)}.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Rational Expressions

Formulas

Simplification of fractions: (a/b) - (c/d) = (ad - bc) / bd
Factoring polynomials: (x-a)(x+b)

Theorems

Common Denominator Theorem
Distributive Property

Suitable Grade Level

Grades 8-10

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