Examples

$(x + 3) (4 x - 3)$

Step 1

Expand $(x + 3) (4 x - 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (4 x - 3) + 3 (4 x - 3)$

Step 1.2

Apply the distributive property.

$x (4 x) + x \cdot - 3 + 3 (4 x - 3)$

Step 1.3

Apply the distributive property.

$x (4 x) + x \cdot - 3 + 3 (4 x) + 3 \cdot - 3$

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.

$4 x \cdot x + x \cdot - 3 + 3 (4 x) + 3 \cdot - 3$

Step 2.1.2

Multiply $x$ by $x$ by adding the exponents.

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Step 2.1.2.1

Move $x$ .

$4 (x \cdot x) + x \cdot - 3 + 3 (4 x) + 3 \cdot - 3$

Step 2.1.2.2

Multiply $x$ by $x$ .

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

Step 2.1.3

Move $- 3$ to the left of $x$ .

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

Step 2.1.4

Multiply $4$ by $3$ .

$4 x^{2} - 3 x + 12 x + 3 \cdot - 3$

Step 2.1.5

Multiply $3$ by $- 3$ .

$4 x^{2} - 3 x + 12 x - 9$

Step 2.2

Add $- 3 x$ and $12 x$ .

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

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