Basic Math Examples

$2 (3 b - 4) (b - 4)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$(2 (3 b) + 2 \cdot - 4) (b - 4)$

Step 1.2

Multiply.

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Step 1.2.1

Multiply $3$ by $2$ .

$(6 b + 2 \cdot - 4) (b - 4)$

Step 1.2.2

Multiply $2$ by $- 4$ .

$(6 b - 8) (b - 4)$

$(6 b - 8) (b - 4)$

$(6 b - 8) (b - 4)$

Step 2

Expand $(6 b - 8) (b - 4)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$6 b (b - 4) - 8 (b - 4)$

Step 2.2

Apply the distributive property.

$6 b \cdot b + 6 b \cdot - 4 - 8 (b - 4)$

Step 2.3

Apply the distributive property.

$6 b \cdot b + 6 b \cdot - 4 - 8 b - 8 \cdot - 4$

$6 b \cdot b + 6 b \cdot - 4 - 8 b - 8 \cdot - 4$

Step 3

Simplify and combine like terms.

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply $b$ by $b$ by adding the exponents.

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Step 3.1.1.1

Move $b$ .

$6 (b \cdot b) + 6 b \cdot - 4 - 8 b - 8 \cdot - 4$

Step 3.1.1.2

Multiply $b$ by $b$ .

$6 b^{2} + 6 b \cdot - 4 - 8 b - 8 \cdot - 4$

$6 b^{2} + 6 b \cdot - 4 - 8 b - 8 \cdot - 4$

Step 3.1.2

Multiply $- 4$ by $6$ .

$6 b^{2} - 24 b - 8 b - 8 \cdot - 4$

Step 3.1.3

Multiply $- 8$ by $- 4$ .

$6 b^{2} - 24 b - 8 b + 32$

$6 b^{2} - 24 b - 8 b + 32$

Step 3.2

Subtract $8 b$ from $- 24 b$ .

$6 b^{2} - 32 b + 32$

$6 b^{2} - 32 b + 32$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$