1 Answer

Bela · Answer 1 · 2022-10-26T16:00:21+0000

Answer:

$\displaystyle (2x + 5)/(x - 9)$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Explanation:

Step 1: Define

$\displaystyle (2x^2 + 13x + 20)/(x^2 - 5x - 36)$

Step 2: Simplify

[Fraction] Factor numerator:
$\displaystyle ((x + 4)(2x + 5))/(x^2 - 5x - 36)$
[Fraction] Factor denominator:
$\displaystyle ((x + 4)(2x + 5))/((x - 9)(x + 4))$
[Fraction] Divide:
$\displaystyle (2x + 5)/(x - 9)$

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