Simplify each polynomial expression. Use any method of choice. SHOW ALL WORK. (4a^(3)-2b+6)-(3a^(3)+2b-9)

Write Given Expression: Write down the given polynomial expression and prepare to simplify it by distributing the negative sign to the terms inside the second parenthesis. (4a^(3)-2b+6)-(3a^(3)+2b-9)Distribute Negative Sign: Distribute the negative sign to each term inside the second parenthesis. This changes the sign of each term within the parenthesis. (4a^(3)-2b+6) - 3a^(3) - 2b + 9Combine Like Terms: Combine like terms by adding or subtracting the coefficients of the terms with the same variable and exponent. 4a^(3) - 3a^(3) = (4-3)a^(3) = a^(3) -2b - 2b = (-2-2)b = -4b 6 + 9 = 15Write Simplified Expression: Write down the simplified polynomial expression by combining the results from Step 3. a^(3) - 4b + 15

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Simplify each polynomial expression. Use any method of choice.
SHOW ALL WORK.
(4a^(3)-2b+6)-(3a^(3)+2b-9)

Simplify each polynomial expression. Use any method of choice. $\newline$ SHOW ALL WORK. $\newline$ $\left(4 a^{3}-2 b+6\right)-\left(3 a^{3}+2 b-9\right)$

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Math Problems

Calculus

Determine end behavior of polynomial and rational functions

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Q. Simplify each polynomial expression. Use any method of choice.

\newline

SHOW ALL WORK.

\newline

\left(4 a^{3}-2 b+6\right)-\left(3 a^{3}+2 b-9\right)

Write Given Expression: Write down the given polynomial expression and prepare to simplify it by distributing the negative sign to the terms inside the second parenthesis. $\newline$ $(4a^{3}-2b+6)-(3a^{3}+2b-9)$
Distribute Negative Sign: Distribute the negative sign to each term inside the second parenthesis. This changes the sign of each term within the parenthesis. $\newline$ $(4a^{3}-2b+6) - 3a^{3} - 2b + 9$
Combine Like Terms: Combine like terms by adding or subtracting the coefficients of the terms with the same variable and exponent. $\newline$ $4a^{3} - 3a^{3} = (4-3)a^{3} = a^{3}$ $\newline$ $-2b - 2b = (-2-2)b = -4b$ $\newline$ $6 + 9 = 15$
Write Simplified Expression: Write down the simplified polynomial expression by combining the results from Step $3$ . $a^{3} - 4b + 15$