Simplify (3x^5+3x^4-6x^3-4x^2)+(-9x^4+2x^3-5x^2)

$(3 x^{5} + 3 x^{4} - 6 x^{3} - 4 x^{2}) + (- 9 x^{4} + 2 x^{3} - 5 x^{2})$

Step 1

Remove parentheses.

$3 x^{5} + 3 x^{4} - 6 x^{3} - 4 x^{2} - 9 x^{4} + 2 x^{3} - 5 x^{2}$

Step 2

Subtract $9 x^{4}$ from $3 x^{4}$ .

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

Step 3

Add $- 6 x^{3}$ and $2 x^{3}$ .

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

Step 4

Subtract $5 x^{2}$ from $- 4 x^{2}$ .

$3 x^{5} - 6 x^{4} - 4 x^{3} - 9 x^{2}$