Basic Math Examples

$(p^{3} - 4 p^{2} + p) - (3 p^{2} + 2 p + 7)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$p^{3} - 4 p^{2} + p - (3 p^{2}) - (2 p) - 1 \cdot 7$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $3$ by $- 1$ .

$p^{3} - 4 p^{2} + p - 3 p^{2} - (2 p) - 1 \cdot 7$

Step 1.2.2

Multiply $2$ by $- 1$ .

$p^{3} - 4 p^{2} + p - 3 p^{2} - 2 p - 1 \cdot 7$

Step 1.2.3

Multiply $- 1$ by $7$ .

$p^{3} - 4 p^{2} + p - 3 p^{2} - 2 p - 7$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $3 p^{2}$ from $- 4 p^{2}$ .

$p^{3} - 7 p^{2} + p - 2 p - 7$

Step 2.2

Subtract $2 p$ from $p$ .

$p^{3} - 7 p^{2} - p - 7$