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Question Details
Done
Simplify each polynomial expression. Us any method of choice.
SHOW ALL WORK.

(4a^(3)-2b+6)-(3a^(3)+2b-9)

Question Details $\newline$ Done $\newline$ Simplify each polynomial expression. Us 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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Determine end behavior of polynomial and rational functions

Full solution

Q. Question Details

\newline

Done

\newline

Simplify each polynomial expression. Us 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 $3$ . $a^{3} - 4b + 15$

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