Expand the polynomial: ax(2x-3a)-x(ax+5a^2)

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]

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