Algebra Examples

$- 3 x (2 x y + 3 y - 2 x)$

Step 1

Apply the distributive property.

$- 3 x (2 x y) - 3 x (3 y) - 3 x (- 2 x)$

Step 2

Simplify.

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Step 2.1

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

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Step 2.1.1

Move $x$ .

$- 3 (x \cdot x) (2 y) - 3 x (3 y) - 3 x (- 2 x)$

Step 2.1.2

Multiply $x$ by $x$ .

$- 3 x^{2} (2 y) - 3 x (3 y) - 3 x (- 2 x)$

Step 2.2

Rewrite using the commutative property of multiplication.

$- 3 x^{2} (2 y) - 3 \cdot 3 x y - 3 x (- 2 x)$

Step 2.3

Rewrite using the commutative property of multiplication.

$- 3 x^{2} (2 y) - 3 \cdot 3 x y - 3 \cdot - 2 x \cdot x$

Step 3

Simplify each term.

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Step 3.1

Rewrite using the commutative property of multiplication.

$- 3 \cdot 2 x^{2} y - 3 \cdot 3 x y - 3 \cdot - 2 x \cdot x$

Step 3.2

Multiply $- 3$ by $2$ .

$- 6 x^{2} y - 3 \cdot 3 x y - 3 \cdot - 2 x \cdot x$

Step 3.3

Multiply $- 3$ by $3$ .

$- 6 x^{2} y - 9 x y - 3 \cdot - 2 x \cdot x$

Step 3.4

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

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Step 3.4.1

Move $x$ .

$- 6 x^{2} y - 9 x y - 3 \cdot - 2 (x \cdot x)$

Step 3.4.2

Multiply $x$ by $x$ .

$- 6 x^{2} y - 9 x y - 3 \cdot - 2 x^{2}$

Step 3.5

Multiply $- 3$ by $- 2$ .

$- 6 x^{2} y - 9 x y + 6 x^{2}$