Algebra Examples

$- 3 p (4 - 2 p)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify the expression.

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Step 1.2.1

Multiply $4$ by $- 3$ .

$- 12 p - 3 p (- 2 p)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$- 12 p - 3 \cdot - 2 p \cdot p$

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $p$ .

$- 12 p - 3 \cdot - 2 (p \cdot p)$

Step 2.1.2

Multiply $p$ by $p$ .

$- 12 p - 3 \cdot - 2 p^{2}$

Step 2.2

Multiply $- 3$ by $- 2$ .

$- 12 p + 6 p^{2}$