Basic Math Examples

$(z) (- 5 z + y^{3} - 9)$

Step 1

Apply the distributive property.

$z (- 5 z) + z y^{3} + z \cdot - 9$

Step 2

Simplify.

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Step 2.1

Rewrite using the commutative property of multiplication.

$- 5 z \cdot z + z y^{3} + z \cdot - 9$

Step 2.2

Move $- 9$ to the left of $z$ .

$- 5 z \cdot z + z y^{3} - 9 \cdot z$

Step 3

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

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Step 3.1

Move $z$ .

$- 5 (z \cdot z) + z y^{3} - 9 \cdot z$

Step 3.2

Multiply $z$ by $z$ .

$- 5 z^{2} + z y^{3} - 9 \cdot z$

$- 5 z^{2} + z y^{3} - 9 z$