nulabott
Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Expand the polynomial:

ax(2x-3a)-x(ax+5a^2)

Sagot :

Space

Answer:

ax² - 8a²x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

ax(2x - 3a) - x(ax + 5a²)

Step 2: Simplify

  1. (Parenthesis) Expand [Distributive Property]:                                                 2ax² - 3a²x - ax² - 5a²x
  2. Combine like terms:                                                                                         ax² - 8a²x

Answer:

[tex]\boxed{\boxed{\sf ax^2-8xa^2}}[/tex]

Step-by-step explanation:

[tex]\sf ax\left(2x-3a\right)-x\left(ax+5a^2\right)[/tex]

Expand by distributing terms:-

[tex]\sf 2ax^2-3xa^2-x\left(ax+5a^2\right)[/tex]

Expand by distributing terms:-

[tex]\sf 2ax^2-3xa^2-ax^2-5xa^2[/tex]

Combine like terms:

[tex]\sf (2ax^2-ax^2)+(-3a^2x-5a^2x)[/tex]

[tex]\sf ax^2-8xa^2[/tex]

______________________

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.