Simplify (7x^6+2x^5-3x^2+9x)+(5x^5+8x^3-6x^2+2x-5)

$(7 x^{6} + 2 x^{5} - 3 x^{2} + 9 x) + (5 x^{5} + 8 x^{3} - 6 x^{2} + 2 x - 5)$

Step 1

Remove parentheses.

$7 x^{6} + 2 x^{5} - 3 x^{2} + 9 x + 5 x^{5} + 8 x^{3} - 6 x^{2} + 2 x - 5$

Step 2

Add $2 x^{5}$ and $5 x^{5}$ .

$7 x^{6} + 7 x^{5} - 3 x^{2} + 9 x + 8 x^{3} - 6 x^{2} + 2 x - 5$

Step 3

Subtract $6 x^{2}$ from $- 3 x^{2}$ .

$7 x^{6} + 7 x^{5} - 9 x^{2} + 9 x + 8 x^{3} + 2 x - 5$

Step 4

Add $9 x$ and $2 x$ .

$7 x^{6} + 7 x^{5} - 9 x^{2} + 8 x^{3} + 11 x - 5$

Step 5

Move $- 9 x^{2}$ .

$7 x^{6} + 7 x^{5} + 8 x^{3} - 9 x^{2} + 11 x - 5$