Question

Expand the polynomial:

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

Answer 1

`\boxed{\boxed{\sf ax^2-8xa^2}}`

Explanation:

`\sf ax\left(2x-3a\right)-x\left(ax+5a^2\right)`

Expand by distributing terms:-

`\sf 2ax^2-3xa^2-x\left(ax+5a^2\right)`

Expand by distributing terms:-

`\sf 2ax^2-3xa^2-ax^2-5xa^2`

Combine like terms:

`\sf (2ax^2-ax^2)+(-3a^2x-5a^2x)`

`\sf ax^2-8xa^2`

______________________

Answer 2

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

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