Finite Math Examples

$(2 + 4 x) (2 - 7 x)$

Step 1

Expand $(2 + 4 x) (2 - 7 x)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$2 (2 - 7 x) + 4 x (2 - 7 x)$

Step 1.2

Apply the distributive property.

$2 \cdot 2 + 2 (- 7 x) + 4 x (2 - 7 x)$

Step 1.3

Apply the distributive property.

$2 \cdot 2 + 2 (- 7 x) + 4 x \cdot 2 + 4 x (- 7 x)$

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

Multiply $2$ by $2$ .

$4 + 2 (- 7 x) + 4 x \cdot 2 + 4 x (- 7 x)$

Step 2.1.2

Multiply $- 7$ by $2$ .

$4 - 14 x + 4 x \cdot 2 + 4 x (- 7 x)$

Step 2.1.3

Multiply $2$ by $4$ .

$4 - 14 x + 8 x + 4 x (- 7 x)$

Step 2.1.4

Rewrite using the commutative property of multiplication.

$4 - 14 x + 8 x + 4 \cdot - 7 x \cdot x$

Step 2.1.5

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

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Step 2.1.5.1

Move $x$ .

$4 - 14 x + 8 x + 4 \cdot - 7 (x \cdot x)$

Step 2.1.5.2

Multiply $x$ by $x$ .

$4 - 14 x + 8 x + 4 \cdot - 7 x^{2}$

Step 2.1.6

Multiply $4$ by $- 7$ .

$4 - 14 x + 8 x - 28 x^{2}$

Step 2.2

Add $- 14 x$ and $8 x$ .

$4 - 6 x - 28 x^{2}$