Simplify 2x^5+3x^3-5x^2+x^2+7x+1+7x^5-3x^3-4

$2 x^{5} + 3 x^{3} - 5 x^{2} + x^{2} + 7 x + 1 + 7 x^{5} - 3 x^{3} - 4$

Step 1

Combine the opposite terms in $2 x^{5} + 3 x^{3} - 5 x^{2} + x^{2} + 7 x + 1 + 7 x^{5} - 3 x^{3} - 4$ .

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

$2 x^{5} - 5 x^{2} + x^{2} + 7 x + 1 + 7 x^{5} + 0 - 4$

Add $2 x^{5} - 5 x^{2} + x^{2} + 7 x + 1 + 7 x^{5}$ and $0$ .

$2 x^{5} - 5 x^{2} + x^{2} + 7 x + 1 + 7 x^{5} - 4$

Step 2

Add $2 x^{5}$ and $7 x^{5}$ .

$9 x^{5} - 5 x^{2} + x^{2} + 7 x + 1 - 4$

Step 3

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

$9 x^{5} - 4 x^{2} + 7 x + 1 - 4$

Step 4

Subtract $4$ from $1$ .

$9 x^{5} - 4 x^{2} + 7 x - 3$