Basic Math Examples

$(2 s + 3) (2 s - 3)$

Step 1

Expand

$(2 s + 3) (2 s - 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$2 s (2 s - 3) + 3 (2 s - 3)$

Step 1.2

Apply the distributive property.

$2 s (2 s) + 2 s \cdot - 3 + 3 (2 s - 3)$

Step 1.3

Apply the distributive property.

$2 s (2 s) + 2 s \cdot - 3 + 3 (2 s) + 3 \cdot - 3$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Rewrite using the commutative property of multiplication.

$2 \cdot 2 s \cdot s + 2 s \cdot - 3 + 3 (2 s) + 3 \cdot - 3$

Step 2.1.2

Multiply

$s$ by

$s$ by adding the exponents.

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Step 2.1.2.1

Move

$s$ .

$2 \cdot 2 (s \cdot s) + 2 s \cdot - 3 + 3 (2 s) + 3 \cdot - 3$

Step 2.1.2.2

Multiply

$s$ by

$s$ .

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

Step 2.1.3

Multiply

$2$ by

$2$ .

$4 s^{2} + 2 s \cdot - 3 + 3 (2 s) + 3 \cdot - 3$

Step 2.1.4

Multiply

$- 3$ by

$2$ .

$4 s^{2} - 6 s + 3 (2 s) + 3 \cdot - 3$

Step 2.1.5

Multiply

$2$ by

$3$ .

$4 s^{2} - 6 s + 6 s + 3 \cdot - 3$

Step 2.1.6

Multiply

$3$ by

$- 3$ .

$4 s^{2} - 6 s + 6 s - 9$

Step 2.2

Add

$- 6 s$ and

$6 s$ .

$4 s^{2} + 0 - 9$

Step 2.3

Add

$4 s^{2}$ and

$0$ .

$4 s^{2} - 9$