Basic Math Examples

$5 z (2 z + y) - 9 z^{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 z (2 z) + 5 z y - 9 z^{2}$

Step 1.2

Rewrite using the commutative property of multiplication.

$5 \cdot 2 z \cdot z + 5 z y - 9 z^{2}$

Step 1.3

Simplify each term.

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Step 1.3.1

Multiply $z$ by $z$ by adding the exponents.

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Step 1.3.1.1

Move $z$ .

$5 \cdot 2 (z \cdot z) + 5 z y - 9 z^{2}$

Step 1.3.1.2

Multiply $z$ by $z$ .

$5 \cdot 2 z^{2} + 5 z y - 9 z^{2}$

Step 1.3.2

Multiply $5$ by $2$ .

$10 z^{2} + 5 z y - 9 z^{2}$

Step 2

Subtract $9 z^{2}$ from $10 z^{2}$ .

$z^{2} + 5 z y$