Algebra Examples

$2 y (3 x + 5 y - 4)$

Step 1

Apply the distributive property.

$2 y (3 x) + 2 y (5 y) + 2 y \cdot - 4$

Step 2

Simplify.

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Step 2.1

Rewrite using the commutative property of multiplication.

$2 \cdot 3 y x + 2 y (5 y) + 2 y \cdot - 4$

Step 2.2

Rewrite using the commutative property of multiplication.

$2 \cdot 3 y x + 2 \cdot 5 y \cdot y + 2 y \cdot - 4$

Step 2.3

Multiply $- 4$ by $2$ .

$2 \cdot 3 y x + 2 \cdot 5 y \cdot y - 8 y$

Step 3

Simplify each term.

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Step 3.1

Multiply $2$ by $3$ .

$6 y x + 2 \cdot 5 y \cdot y - 8 y$

Step 3.2

Multiply $y$ by $y$ by adding the exponents.

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Step 3.2.1

Move $y$ .

$6 y x + 2 \cdot 5 (y \cdot y) - 8 y$

Step 3.2.2

Multiply $y$ by $y$ .

$6 y x + 2 \cdot 5 y^{2} - 8 y$

Step 3.3

Multiply $2$ by $5$ .

$6 y x + 10 y^{2} - 8 y$

Step 4

Move $y$ .

$6 x y + 10 y^{2} - 8 y$