Basic Math Examples

$7 y (9 y + z)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$7 y (9 y) + 7 y z$

Step 1.2

Rewrite using the commutative property of multiplication.

$7 \cdot 9 y \cdot y + 7 y z$

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 $y$ .

$7 \cdot 9 (y \cdot y) + 7 y z$

Step 2.1.2

Multiply $y$ by $y$ .

$7 \cdot 9 y^{2} + 7 y z$

Step 2.2

Multiply $7$ by $9$ .

$63 y^{2} + 7 y z$