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

Sagot :

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]

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