Algebra Examples

$(2 a) (3 x^{2} + 2 x y - 4 y^{3})$

Step 1

Apply the distributive property.

$2 a (3 x^{2}) + 2 a (2 x y) + 2 a (- 4 y^{3})$

Step 2

Simplify.

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Step 2.1

Rewrite using the commutative property of multiplication.

$2 \cdot 3 a x^{2} + 2 a (2 x y) + 2 a (- 4 y^{3})$

Step 2.2

Multiply $2$ by $2$ .

$2 \cdot 3 a x^{2} + 4 a (x y) + 2 a (- 4 y^{3})$

Step 2.3

Rewrite using the commutative property of multiplication.

$2 \cdot 3 a x^{2} + 4 a (x y) + 2 \cdot - 4 a y^{3}$

Step 3

Simplify each term.

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Step 3.1

Multiply $2$ by $3$ .

$6 a x^{2} + 4 a (x y) + 2 \cdot - 4 a y^{3}$

Step 3.2

Multiply $2$ by $- 4$ .

$6 a x^{2} + 4 a x y - 8 a y^{3}$