Algebra Examples

$(7 p^{4} - 6 p^{3} - 3 p) - (1 + 3 p^{3} + p^{4})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 p^{4} - 6 p^{3} - 3 p - 1 \cdot 1 - (3 p^{3}) - p^{4}$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 1$ by $1$ .

$7 p^{4} - 6 p^{3} - 3 p - 1 - (3 p^{3}) - p^{4}$

Step 1.2.2

Multiply $3$ by $- 1$ .

$7 p^{4} - 6 p^{3} - 3 p - 1 - 3 p^{3} - p^{4}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $p^{4}$ from $7 p^{4}$ .

$6 p^{4} - 6 p^{3} - 3 p - 1 - 3 p^{3}$

Step 2.2

Subtract $3 p^{3}$ from $- 6 p^{3}$ .

$6 p^{4} - 9 p^{3} - 3 p - 1$