Algebra Examples

$(2 x - 3) (2 x - 3)$

Step 1

Expand

$(2 x - 3) (2 x - 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$2 x (2 x - 3) - 3 (2 x - 3)$

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

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

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.

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

Step 2.1.2

Multiply

$x$ by

$x$ by adding the exponents.

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Step 2.1.2.1

Move

$x$ .

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

Step 2.1.2.2

Multiply

$x$ by

$x$ .

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

Step 2.1.3

Multiply

$2$ by

$2$ .

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

Step 2.1.4

Multiply

$- 3$ by

$2$ .

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

Step 2.1.5

Multiply

$2$ by

$- 3$ .

$4 x^{2} - 6 x - 6 x - 3 \cdot - 3$

Step 2.1.6

Multiply

$- 3$ by

$- 3$ .

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

Step 2.2

Subtract

$6 x$ from

$- 6 x$ .

$4 x^{2} - 12 x + 9$