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Subtract . Your answer should be a polynomial in standard form. (- 5b ^ 2 - 8b) - (- 9b ^ 3 - 5b ^ 2 - 8b) =

Sagot :

Space

Answer:

9b³

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

(-5b² - 8b) - (-9b³ - 5b² - 8b)

Step 2: Simplify

  1. [Distributive Property] Distribute negative:                                                  -5b² - 8b + 9b³ + 5b² + 8b
  2. [Addition] Combine like terms (b²):                                                               9b³ - 8b + 8b
  3. [Addition] Combine like terms (b):                                                                 9b³

Answer:9b3

Step-by-step explanation:

Distribute the Negative Sign:

=−5b2−8b+−1(−9b3−5b2−8b)

=−5b2+−8b+−1(−9b3)+−1(−5b2)+−1(−8b)

=−5b2+−8b+9b3+5b2+8b

Combine Like Terms:

=−5b2+−8b+9b3+5b2+8b

=(9b3)+(−5b2+5b2)+(−8b+8b)

=9b3