Pre-Algebra Examples

$6 x^{2} \cdot (19 x) + 13 (3 x + 2)$

Step 1

Rewrite using the commutative property of multiplication.

$6 \cdot 19 x^{2} x + 13 (3 x + 2)$

Step 2

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

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Step 2.1

Move $x$ .

$6 \cdot 19 (x \cdot x^{2}) + 13 (3 x + 2)$

Step 2.2

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

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Step 2.2.1

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

$6 \cdot 19 (x^{1} x^{2}) + 13 (3 x + 2)$

Step 2.2.2

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

$6 \cdot 19 x^{1 + 2} + 13 (3 x + 2)$

Step 2.3

Add $1$ and $2$ .

$6 \cdot 19 x^{3} + 13 (3 x + 2)$

Step 3

Multiply $6$ by $19$ .

$114 x^{3} + 13 (3 x + 2)$

Step 4

Apply the distributive property.

$114 x^{3} + 13 (3 x) + 13 \cdot 2$

Step 5

Multiply $3$ by $13$ .

$114 x^{3} + 39 x + 13 \cdot 2$

Step 6

Multiply $13$ by $2$ .

$114 x^{3} + 39 x + 26$