Answer:
4x² - 6x
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute negative: 3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x
- Combine like terms (x²): 4x² + 2y² - 3x + y² - 2x - 3y² - x
- Combine like terms (y²): 4x² - 3x - 2x - x
- Combine like terms (x): 4x² - 6x
-π/2 < arctan(x) < π/2
So cos(π/2) < cos(arctan(x)) < cos(0)
0 < cos(arctan(x)) < 1
Answer: =
6x^2−5x−6
Step-by-step explanation: Multiply each term in one expression times each term in the other, then simplify by combining like terms.
Here are the like terms : =(3x+2)(2x−3)=3x(2x+3x(−3)+2(2x)+2(−3)
= 6x^2−9x+4x−6
=6x2−5x−6