Algebra Examples

$5 y (8 y - 3)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$5 y (8 y) + 5 y \cdot - 3$

Step 1.2

Simplify the expression.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

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

Step 1.2.2

Multiply $- 3$ by $5$ .

$5 \cdot 8 y \cdot y - 15 y$

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $y$ .

$5 \cdot 8 (y \cdot y) - 15 y$

Step 2.1.2

Multiply $y$ by $y$ .

$5 \cdot 8 y^{2} - 15 y$

Step 2.2

Multiply $5$ by $8$ .

$40 y^{2} - 15 y$