Simplify and then classify by degree and number of terms with an explanation

Step 1: Write out the expression to simplify
[tex]2x+3x^2(4x-5)[/tex]Step 2: Remove the bracket using distribution property
[tex]\begin{gathered} 2x+3x^2(4x-5)\Rightarrow2x+3x^2(4x)-3x^2(5) \\ \Rightarrow2x+12x^3-15x^2 \end{gathered}[/tex]Step 3: Rewrite the resulting expression in order of degree and state the degree and the number of terms
[tex]12x^3-15x^2+2x[/tex]The degree is 3 (third degree) as the highest power of the variable is 3, there are three terms in the expression
Hence, the expression is a cubic expression (degree 3) and a trinomial (3 terms)