Basic Math Examples

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

Step 1

Apply the distributive property.

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

Step 2

Simplify.

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Step 2.1

Multiply $y$ by $y^{2}$ by adding the exponents.

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Step 2.1.1

Multiply $y$ by $y^{2}$ .

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Step 2.1.1.1

Raise $y$ to the power of $1$ .

$y^{1} y^{2} + y (- y) + y \cdot 3$

Step 2.1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y^{1 + 2} + y (- y) + y \cdot 3$

Step 2.1.2

Add $1$ and $2$ .

$y^{3} + y (- y) + y \cdot 3$

Step 2.2

Rewrite using the commutative property of multiplication.

$y^{3} - y \cdot y + y \cdot 3$

Step 2.3

Move $3$ to the left of $y$ .

$y^{3} - y \cdot y + 3 \cdot y$

Step 3

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

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Step 3.1

Move $y$ .

$y^{3} - (y \cdot y) + 3 \cdot y$

Step 3.2

Multiply $y$ by $y$ .

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

$y^{3} - y^{2} + 3 y$