Algebra Examples

$(1 + 8 r^{3} - 2 r^{2}) + (6 r^{3} + 6 r^{2} - 1)$

Step 1

Remove parentheses.

$1 + 8 r^{3} - 2 r^{2} + 6 r^{3} + 6 r^{2} - 1$

Step 2

Combine the opposite terms in $1 + 8 r^{3} - 2 r^{2} + 6 r^{3} + 6 r^{2} - 1$ .

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Step 2.1

Subtract $1$ from $1$ .

$8 r^{3} - 2 r^{2} + 6 r^{3} + 6 r^{2} + 0$

Step 2.2

Add $8 r^{3} - 2 r^{2} + 6 r^{3} + 6 r^{2}$ and $0$ .

$8 r^{3} - 2 r^{2} + 6 r^{3} + 6 r^{2}$

Step 3

Add $8 r^{3}$ and $6 r^{3}$ .

$14 r^{3} - 2 r^{2} + 6 r^{2}$

Step 4

Add $- 2 r^{2}$ and $6 r^{2}$ .

$14 r^{3} + 4 r^{2}$