Pre-Algebra Examples

$(3 x^{7} - 3 x^{5} + 6 x - 3) - (- 8 x^{6} - 6 x^{5} + 9 x^{2} - 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 x^{7} - 3 x^{5} + 6 x - 3 - (- 8 x^{6}) - (- 6 x^{5}) - (9 x^{2}) - - 4$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 8$ by $- 1$ .

$3 x^{7} - 3 x^{5} + 6 x - 3 + 8 x^{6} - (- 6 x^{5}) - (9 x^{2}) - - 4$

Step 1.2.2

Multiply $- 6$ by $- 1$ .

$3 x^{7} - 3 x^{5} + 6 x - 3 + 8 x^{6} + 6 x^{5} - (9 x^{2}) - - 4$

Step 1.2.3

Multiply $9$ by $- 1$ .

$3 x^{7} - 3 x^{5} + 6 x - 3 + 8 x^{6} + 6 x^{5} - 9 x^{2} - - 4$

Step 1.2.4

Multiply $- 1$ by $- 4$ .

$3 x^{7} - 3 x^{5} + 6 x - 3 + 8 x^{6} + 6 x^{5} - 9 x^{2} + 4$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 3 x^{5}$ and $6 x^{5}$ .

$3 x^{7} + 3 x^{5} + 6 x - 3 + 8 x^{6} - 9 x^{2} + 4$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $- 3$ and $4$ .

$3 x^{7} + 3 x^{5} + 6 x + 8 x^{6} - 9 x^{2} + 1$

Step 2.2.2

Move $6 x$ .

$3 x^{7} + 3 x^{5} + 8 x^{6} - 9 x^{2} + 6 x + 1$

Step 2.2.3

Move $3 x^{5}$ .

$3 x^{7} + 8 x^{6} + 3 x^{5} - 9 x^{2} + 6 x + 1$