Simplify (5x^4+3x^2-6x-10)+(2x^3-7x^2+6x+1)

$(5 x^{4} + 3 x^{2} - 6 x - 10) + (2 x^{3} - 7 x^{2} + 6 x + 1)$

Step 1

Remove parentheses.

$5 x^{4} + 3 x^{2} - 6 x - 10 + 2 x^{3} - 7 x^{2} + 6 x + 1$

Step 2

Combine the opposite terms in $5 x^{4} + 3 x^{2} - 6 x - 10 + 2 x^{3} - 7 x^{2} + 6 x + 1$ .

Add $- 6 x$ and $6 x$ .

$5 x^{4} + 3 x^{2} - 10 + 2 x^{3} - 7 x^{2} + 0 + 1$

Add $5 x^{4} + 3 x^{2} - 10 + 2 x^{3} - 7 x^{2}$ and $0$ .

$5 x^{4} + 3 x^{2} - 10 + 2 x^{3} - 7 x^{2} + 1$

Step 3

Subtract $7 x^{2}$ from $3 x^{2}$ .

$5 x^{4} - 4 x^{2} - 10 + 2 x^{3} + 1$

Step 4

Simplify the expression.

Add $- 10$ and $1$ .

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

Move $- 4 x^{2}$ .

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