nulabott
Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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 your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.