Pre-Algebra Examples

$(6 x^{3} + 2 x^{2} - 4 x) + (3 x^{2} - 7 x + 1) + (2 x^{3} - 5 x^{2} + 8 x - 7)$

Step 1

Remove parentheses.

$6 x^{3} + 2 x^{2} - 4 x + 3 x^{2} - 7 x + 1 + 2 x^{3} - 5 x^{2} + 8 x - 7$

Step 2

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

$8 x^{3} + 2 x^{2} - 4 x + 3 x^{2} - 7 x + 1 - 5 x^{2} + 8 x - 7$

Step 3

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

$8 x^{3} + 5 x^{2} - 4 x - 7 x + 1 - 5 x^{2} + 8 x - 7$

Step 4

Combine the opposite terms in $8 x^{3} + 5 x^{2} - 4 x - 7 x + 1 - 5 x^{2} + 8 x - 7$ .

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Step 4.1

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

$8 x^{3} - 4 x - 7 x + 1 + 0 + 8 x - 7$

Step 4.2

Add $8 x^{3} - 4 x - 7 x + 1$ and $0$ .

$8 x^{3} - 4 x - 7 x + 1 + 8 x - 7$

Step 5

Subtract $7 x$ from $- 4 x$ .

$8 x^{3} - 11 x + 1 + 8 x - 7$

Step 6

Add $- 11 x$ and $8 x$ .

$8 x^{3} - 3 x + 1 - 7$

Step 7

Subtract $7$ from $1$ .

$8 x^{3} - 3 x - 6$