Chemistry Examples

$15 x (6 x y + 12 x - 3 x y)$

Step 1

Subtract $3 x y$ from $6 x y$ .

$15 x (3 x y + 12 x)$

Step 2

Apply the distributive property.

$15 x (3 x y) + 15 x (12 x)$

Step 3

Multiply $x$ by $x$ by adding the exponents.

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Step 3.1

Move $x$ .

$15 (x \cdot x) (3 y) + 15 x (12 x)$

Step 3.2

Multiply $x$ by $x$ .

$15 x^{2} (3 y) + 15 x (12 x)$

Step 4

Rewrite using the commutative property of multiplication.

$15 x^{2} (3 y) + 15 \cdot 12 x \cdot x$

Step 5

Simplify each term.

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Step 5.1

Rewrite using the commutative property of multiplication.

$15 \cdot 3 x^{2} y + 15 \cdot 12 x \cdot x$

Step 5.2

Multiply $15$ by $3$ .

$45 x^{2} y + 15 \cdot 12 x \cdot x$

Step 5.3

Multiply $x$ by $x$ by adding the exponents.

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Step 5.3.1

Move $x$ .

$45 x^{2} y + 15 \cdot 12 (x \cdot x)$

Step 5.3.2

Multiply $x$ by $x$ .

$45 x^{2} y + 15 \cdot 12 x^{2}$

Step 5.4

Multiply $15$ by $12$ .

$45 x^{2} y + 180 x^{2}$