Basic Math Examples

$2 p (p - 5) + 4 p (3 p - 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 p \cdot p + 2 p \cdot - 5 + 4 p (3 p - 2)$

Step 1.2

Multiply $p$ by $p$ by adding the exponents.

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Step 1.2.1

Move $p$ .

$2 (p \cdot p) + 2 p \cdot - 5 + 4 p (3 p - 2)$

Step 1.2.2

Multiply $p$ by $p$ .

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

Step 1.3

Multiply $- 5$ by $2$ .

$2 p^{2} - 10 p + 4 p (3 p - 2)$

Step 1.4

Apply the distributive property.

$2 p^{2} - 10 p + 4 p (3 p) + 4 p \cdot - 2$

Step 1.5

Rewrite using the commutative property of multiplication.

$2 p^{2} - 10 p + 4 \cdot 3 p \cdot p + 4 p \cdot - 2$

Step 1.6

Multiply $- 2$ by $4$ .

$2 p^{2} - 10 p + 4 \cdot 3 p \cdot p - 8 p$

Step 1.7

Simplify each term.

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Step 1.7.1

Multiply $p$ by $p$ by adding the exponents.

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Step 1.7.1.1

Move $p$ .

$2 p^{2} - 10 p + 4 \cdot 3 (p \cdot p) - 8 p$

Step 1.7.1.2

Multiply $p$ by $p$ .

$2 p^{2} - 10 p + 4 \cdot 3 p^{2} - 8 p$

Step 1.7.2

Multiply $4$ by $3$ .

$2 p^{2} - 10 p + 12 p^{2} - 8 p$

Step 2

Simplify by adding terms.

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Step 2.1

Add $2 p^{2}$ and $12 p^{2}$ .

$14 p^{2} - 10 p - 8 p$

Step 2.2

Subtract $8 p$ from $- 10 p$ .

$14 p^{2} - 18 p$