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3p(2p - 9) - 2p(-9 + p)​

Sagot :

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Answer:

4p² - 9p

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

Distributive Property

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3p(2p - 9) - 2p(-9 + p)

Step 2: Simplify

  1. [Distributive Property] Distribute 3p:                                                               6p² - 27p - 2p(-9 + p)
  2. [Distributive Property] Distribute -2p:                                                             6p² - 27p + 18p - 2p²
  3. [Subtraction] Combine like terms (p²):                                                            4p² - 27p + 18p
  4. [Addition] Combine like terms (p):                                                                   4p² - 9p
3p(2p-9)-2p(-9+p)
6p -27p -2p^2+12p
4p^2 -27p+18p
Combine like terms
Your answer is 4p^2 -9p
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