Answer :
Explanation:
Question:
Simplify:
[tex]12c^2d-2cd+8cd^2-(-c^2d+4cd)-(5cd-2cd^2)[/tex]Step 1:
Expand and open up the parenthesis
[tex]\begin{gathered} 12c^{2}d-2cd+8cd^{2}-(-c^{2}d+4cd)-(5cd-2cd^{2}) \\ 12c^2d-2cd+8cd^2+c^2d-4cd-5cd+2cd^2 \end{gathered}[/tex]Step 2:
Collect similar terms,
[tex]\begin{gathered} 12c^{2}d-2cd+8cd^{2}+c^{2}d-4cd-5cd+2cd^{2} \\ 12c^2d+c^2d+8cd^2+2cd^2-2cd-4cd-5cd \\ 13c^2d^+10cd^2-11cd \\ 13c^2d^-11cd+10cd^2 \end{gathered}[/tex]Hence,
The final answer is
[tex]13c^2d-11cd+10cd^2[/tex]