Math Problem Statement

just tell me the right answer no explanation

Simplify the given algebraic expression: (p^2 - 5p - 6) / (7p + 7) * 7 / (5p^2 + 15p) and select the correct answer from the provided options.

Solution

The correct answer is C: (p8)(p+9)(p - 8)(p + 9).

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Math Problem Analysis

Mathematical Concepts

Algebra
Factoring
Rational Expressions
Simplification

Formulas

Factoring quadratic expressions: ax^2 + bx + c
Simplifying rational expressions: (A/B) * (C/D) = (A*C) / (B*D)

Theorems

Quadratic factoring theorem
Properties of multiplication of rational expressions

Suitable Grade Level

Grades 9-12