Verla
MathAlgebra

Find the Product of the Following Rational Algebraic Expressions

Factor and cancel two rational expressions, then state the original excluded values.

Question

Multiply the rational expressions and show the product in simplest form:

x2+4x−53x+18⋅2x−1x+5.\frac{x^2+4x-5}{3x+18}\cdot\frac{2x-1}{x+5}.

This question has been answered.

Explore the full answer and supporting references to better understand this question.

Verla BasicBest value

$19.99/month

  • Everything in Study Pass
  • Assignments with writing output
  • AI detection and humanizer
  • Basic quotas across every tool
Study Pass

$0.99/month

  • Entire question library
  • Knowledge guides and sources
  • Detailed answers and explanations
  • No AI tools or quotas

Evidence boundary

The simplified product is equivalent to the original only for real x with x ≠ −6 and x ≠ −5. The canceled factor does not restore the value at x = −5.