Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Rewrite using the commutative property of multiplication.

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

Step 1.2

Multiply $p^{2}$ by $p$ by adding the exponents.

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Step 1.2.1

Move $p$ .

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

Step 1.2.2

Multiply $p$ by $p^{2}$ .

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Step 1.2.2.1

Raise $p$ to the power of $1$ .

$p^{2} - 7 p + 2 (p^{1} p^{2})$

Step 1.2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$p^{2} - 7 p + 2 p^{1 + 2}$

Step 1.2.3

Add $1$ and $2$ .

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

Step 2

Simplify the expression.

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Step 2.1

Move $- 7 p$ .

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

Step 2.2

Reorder $p^{2}$ and $2 p^{3}$ .

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