Question

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

Answer 1

Answer:9b3

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

Answer 2

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

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