Write in Standard Form n^2+2(nm)+m^2+9n^2-6(nm)+m^2

$n^{2} + 2 (n m) + m^{2} + 9 n^{2} - 6 (n m) + m^{2}$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Remove parentheses.

$n^{2} + 2 n m + m^{2} + 9 n^{2} - 6 n m + m^{2}$

Step 3

Simplify by adding terms.

Add $n^{2}$ and $9 n^{2}$ .

$10 n^{2} + 2 n m + m^{2} - 6 n m + m^{2}$

Subtract $6 n m$ from $2 n m$ .

$10 n^{2} + m^{2} - 4 n m + m^{2}$

Add $m^{2}$ and $m^{2}$ .

$10 n^{2} + 2 m^{2} - 4 n m$

Reorder.

Move $n$ .

$10 n^{2} + 2 m^{2} - 4 m n$

Move $10 n^{2}$ .

$2 m^{2} - 4 m n + 10 n^{2}$