Basic Math Examples

3 x (8 - x)

$3 x (8 - x)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

3 x \cdot 8 + 3 x (- x)

$3 x \cdot 8 + 3 x (- x)$

Step 1.2

Simplify the expression.

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Step 1.2.1

Multiply

8

$8$ by

3

$3$ .

24 x + 3 x (- x)

$24 x + 3 x (- x)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

24 x + 3 \cdot - 1 x \cdot x

$24 x + 3 \cdot - 1 x \cdot x$

24 x + 3 \cdot - 1 x \cdot x

$24 x + 3 \cdot - 1 x \cdot x$

24 x + 3 \cdot - 1 x \cdot x

$24 x + 3 \cdot - 1 x \cdot x$

Step 2

Simplify each term.

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Step 2.1

Multiply

x

$x$ by

x

$x$ by adding the exponents.

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Step 2.1.1

Move

x

$x$ .

24 x + 3 \cdot - 1 (x \cdot x)

$24 x + 3 \cdot - 1 (x \cdot x)$

Step 2.1.2

Multiply

x

$x$ by

x

$x$ .

24 x + 3 \cdot - 1 x^{2}

$24 x + 3 \cdot - 1 x^{2}$

24 x + 3 \cdot - 1 x^{2}

$24 x + 3 \cdot - 1 x^{2}$

Step 2.2

Multiply

3

$3$ by

- 1

$- 1$ .

24 x - 3 x^{2}

$24 x - 3 x^{2}$

24 x - 3 x^{2}

$24 x - 3 x^{2}$