Basic Math Examples

$(4 x + 4) (7 x - 3)$

Step 1

Expand $(4 x + 4) (7 x - 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$4 x (7 x - 3) + 4 (7 x - 3)$

Step 1.2

Apply the distributive property.

$4 x (7 x) + 4 x \cdot - 3 + 4 (7 x - 3)$

Step 1.3

Apply the distributive property.

$4 x (7 x) + 4 x \cdot - 3 + 4 (7 x) + 4 \cdot - 3$

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.

$4 \cdot 7 x \cdot x + 4 x \cdot - 3 + 4 (7 x) + 4 \cdot - 3$

Step 2.1.2

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

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Step 2.1.2.1

Move $x$ .

$4 \cdot 7 (x \cdot x) + 4 x \cdot - 3 + 4 (7 x) + 4 \cdot - 3$

Step 2.1.2.2

Multiply $x$ by $x$ .

$4 \cdot 7 x^{2} + 4 x \cdot - 3 + 4 (7 x) + 4 \cdot - 3$

Step 2.1.3

Multiply $4$ by $7$ .

$28 x^{2} + 4 x \cdot - 3 + 4 (7 x) + 4 \cdot - 3$

Step 2.1.4

Multiply $- 3$ by $4$ .

$28 x^{2} - 12 x + 4 (7 x) + 4 \cdot - 3$

Step 2.1.5

Multiply $7$ by $4$ .

$28 x^{2} - 12 x + 28 x + 4 \cdot - 3$

Step 2.1.6

Multiply $4$ by $- 3$ .

$28 x^{2} - 12 x + 28 x - 12$

Step 2.2

Add $- 12 x$ and $28 x$ .

$28 x^{2} + 16 x - 12$