Basic Math Examples

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

Step 1

Simplify terms.

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Step 1.1

Subtract $9 z$ from $7 z$ .

$(7 z + 9 y) \cdot (- 2 z)$

Step 1.2

Apply the distributive property.

$7 z (- 2 z) + 9 y (- 2 z)$

Step 1.3

Reorder.

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Step 1.3.1

Rewrite using the commutative property of multiplication.

$7 \cdot - 2 z \cdot z + 9 y (- 2 z)$

Step 1.3.2

Rewrite using the commutative property of multiplication.

$7 \cdot - 2 z \cdot z + 9 \cdot - 2 y z$

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $z$ .

$7 \cdot - 2 (z \cdot z) + 9 \cdot - 2 y z$

Step 2.1.2

Multiply $z$ by $z$ .

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

Step 2.2

Multiply $7$ by $- 2$ .

$- 14 z^{2} + 9 \cdot - 2 y z$

Step 2.3

Multiply $9$ by $- 2$ .

$- 14 z^{2} - 18 y z$