Simplify (x^6+10x^5-6x^2-5x)+(-9x^5+5x^3+9x^2+x+10)

$(x^{6} + 10 x^{5} - 6 x^{2} - 5 x) + (- 9 x^{5} + 5 x^{3} + 9 x^{2} + x + 10)$

Step 1

Remove parentheses.

$x^{6} + 10 x^{5} - 6 x^{2} - 5 x - 9 x^{5} + 5 x^{3} + 9 x^{2} + x + 10$

Step 2

Subtract $9 x^{5}$ from $10 x^{5}$ .

$x^{6} + x^{5} - 6 x^{2} - 5 x + 5 x^{3} + 9 x^{2} + x + 10$

Step 3

Add $- 6 x^{2}$ and $9 x^{2}$ .

$x^{6} + x^{5} + 3 x^{2} - 5 x + 5 x^{3} + x + 10$

Step 4

Add $- 5 x$ and $x$ .

$x^{6} + x^{5} + 3 x^{2} + 5 x^{3} - 4 x + 10$

Step 5

Move $3 x^{2}$ .

$x^{6} + x^{5} + 5 x^{3} + 3 x^{2} - 4 x + 10$