Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 p^{3} + 5 + 6 p^{4} - 3 \cdot 2 - 3 (7 p^{3}) - 3 (- 8 p)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 3$ by $2$ .

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

Step 1.2.2

Multiply $7$ by $- 3$ .

$2 p^{3} + 5 + 6 p^{4} - 6 - 21 p^{3} - 3 (- 8 p)$

Step 1.2.3

Multiply $- 8$ by $- 3$ .

$2 p^{3} + 5 + 6 p^{4} - 6 - 21 p^{3} + 24 p$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $21 p^{3}$ from $2 p^{3}$ .

$- 19 p^{3} + 5 + 6 p^{4} - 6 + 24 p$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $6$ from $5$ .

$- 19 p^{3} + 6 p^{4} - 1 + 24 p$

Step 2.2.2

Move $- 1$ .

$- 19 p^{3} + 6 p^{4} + 24 p - 1$

Step 2.2.3

Reorder $- 19 p^{3}$ and $6 p^{4}$ .

$6 p^{4} - 19 p^{3} + 24 p - 1$