Question

Simplify: 12c^2d – 2cd + 8cd^2 – (-c^2d + 4cd) – (5cd – 2cd^2)

Answer 1

Step-by-step explanation:

Question:

Simplify:

`12c^2d-2cd+8cd^2-(-c^2d+4cd)-(5cd-2cd^2)`

Step 1:

Expand and open up the parenthesis

`\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}`

Step 2:

Collect similar terms,

`\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}`

Hence,

The final answer is

`13c^2d-11cd+10cd^2`