Simplify 2r^4-3r^3+2r^2+11r-5+(r^5+10r^3+6r^2-2r+3)+(-5r^4+r^2+7r-6)

$2 r^{4} - 3 r^{3} + 2 r^{2} + 11 r - 5 + (r^{5} + 10 r^{3} + 6 r^{2} - 2 r + 3) + (- 5 r^{4} + r^{2} + 7 r - 6)$

Step 1

Remove parentheses.

$2 r^{4} - 3 r^{3} + 2 r^{2} + 11 r - 5 + r^{5} + 10 r^{3} + 6 r^{2} - 2 r + 3 - 5 r^{4} + r^{2} + 7 r - 6$

Step 2

Subtract

$5 r^{4}$ from

$2 r^{4}$ .

$- 3 r^{4} - 3 r^{3} + 2 r^{2} + 11 r - 5 + r^{5} + 10 r^{3} + 6 r^{2} - 2 r + 3 + r^{2} + 7 r - 6$

Step 3

Add

$- 3 r^{3}$ and

$10 r^{3}$ .

$- 3 r^{4} + 7 r^{3} + 2 r^{2} + 11 r - 5 + r^{5} + 6 r^{2} - 2 r + 3 + r^{2} + 7 r - 6$

Step 4

Add

$2 r^{2}$ and

$6 r^{2}$ .

$- 3 r^{4} + 7 r^{3} + 8 r^{2} + 11 r - 5 + r^{5} - 2 r + 3 + r^{2} + 7 r - 6$

Step 5

Add

$8 r^{2}$ and

$r^{2}$ .

$- 3 r^{4} + 7 r^{3} + 9 r^{2} + 11 r - 5 + r^{5} - 2 r + 3 + 7 r - 6$

Step 6

Subtract

$2 r$ from

$11 r$ .

$- 3 r^{4} + 7 r^{3} + 9 r^{2} + 9 r - 5 + r^{5} + 3 + 7 r - 6$

Step 7

Add

$9 r$ and

$7 r$ .

$- 3 r^{4} + 7 r^{3} + 9 r^{2} + 16 r - 5 + r^{5} + 3 - 6$

Step 8

Simplify the expression.

Add

$- 5$ and

$3$ .

$- 3 r^{4} + 7 r^{3} + 9 r^{2} + 16 r + r^{5} - 2 - 6$

Subtract

$6$ from

$- 2$ .

$- 3 r^{4} + 7 r^{3} + 9 r^{2} + 16 r + r^{5} - 8$

Move

$16 r$ .

$- 3 r^{4} + 7 r^{3} + 9 r^{2} + r^{5} + 16 r - 8$

Move

$9 r^{2}$ .

$- 3 r^{4} + 7 r^{3} + r^{5} + 9 r^{2} + 16 r - 8$

Move

$7 r^{3}$ .

$- 3 r^{4} + r^{5} + 7 r^{3} + 9 r^{2} + 16 r - 8$

Reorder

$- 3 r^{4}$ and

$r^{5}$ .

$r^{5} - 3 r^{4} + 7 r^{3} + 9 r^{2} + 16 r - 8$

Simplify 2r^4-3r^3+2r^2+11r-5+(r^5+10r^3+6r^2-2r+3)+(-5r^4+r^2+7r-6)

Related Questions