We simplify expression by combining like terms.
"Like terms" are terms whose variables (and their exponents such as the 2 in x^2) are the same.
In other words, terms that are "like" each other.
Let's simplify the expression shown >>>
[tex]\begin{gathered} (11b^4-6b^3+18b^2-4b+8)-(3b^3+6b^2+3b) \\ =11b^4-6b^3+18b^2-4b+8-3b^3-6b^2-3b \\ =11b^4-9b^3+12b^2-7b+8 \end{gathered}[/tex]
The degree of the simplified expression is 4.
That is the highest power of all the terms.
Answer
• This simplifies to:
[tex]11b^4-9b^3+12b^2-7b+8[/tex]
• The degree of our simplified answer is:
[tex]4[/tex]