Basic Math Examples

$264.96 \cdot (0.577 - \frac{0.0924}{b}) \cdot (1 + \frac{0.2592}{b})$

Step 1

Apply the distributive property.

$(264.96 \cdot 0.577 + 264.96 (- \frac{0.0924}{b})) \cdot (1 + \frac{0.2592}{b})$

Step 2

Multiply $264.96$ by $0.577$ .

$(152.88192 + 264.96 (- \frac{0.0924}{b})) \cdot (1 + \frac{0.2592}{b})$

Step 3

Multiply $264.96 (- \frac{0.0924}{b})$ .

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Step 3.1

Multiply $- 1$ by $264.96$ .

$(152.88192 - 264.96 \frac{0.0924}{b}) \cdot (1 + \frac{0.2592}{b})$

Step 3.2

Combine $- 264.96$ and $\frac{0.0924}{b}$ .

$(152.88192 + \frac{- 264.96 \cdot 0.0924}{b}) \cdot (1 + \frac{0.2592}{b})$

Step 3.3

Multiply $- 264.96$ by $0.0924$ .

$(152.88192 + \frac{- 24.482304}{b}) \cdot (1 + \frac{0.2592}{b})$

Step 4

Move the negative in front of the fraction.

$(152.88192 - \frac{24.482304}{b}) \cdot (1 + \frac{0.2592}{b})$

Step 5

Expand $(152.88192 - \frac{24.482304}{b}) (1 + \frac{0.2592}{b})$ using the FOIL Method.

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Step 5.1

Apply the distributive property.

$152.88192 (1 + \frac{0.2592}{b}) - \frac{24.482304}{b} (1 + \frac{0.2592}{b})$

Step 5.2

Apply the distributive property.

$152.88192 \cdot 1 + 152.88192 \frac{0.2592}{b} - \frac{24.482304}{b} (1 + \frac{0.2592}{b})$

Step 5.3

Apply the distributive property.

$152.88192 \cdot 1 + 152.88192 \frac{0.2592}{b} - \frac{24.482304}{b} \cdot 1 - \frac{24.482304}{b} \cdot \frac{0.2592}{b}$

Step 6

Simplify and combine like terms.

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Step 6.1

Simplify each term.

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Step 6.1.1

Multiply $152.88192$ by $1$ .

$152.88192 + 152.88192 \frac{0.2592}{b} - \frac{24.482304}{b} \cdot 1 - \frac{24.482304}{b} \cdot \frac{0.2592}{b}$

Step 6.1.2

Multiply $152.88192 \frac{0.2592}{b}$ .

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Step 6.1.2.1

Combine $152.88192$ and $\frac{0.2592}{b}$ .

$152.88192 + \frac{152.88192 \cdot 0.2592}{b} - \frac{24.482304}{b} \cdot 1 - \frac{24.482304}{b} \cdot \frac{0.2592}{b}$

Step 6.1.2.2

Multiply $152.88192$ by $0.2592$ .

$152.88192 + \frac{39.62699366}{b} - \frac{24.482304}{b} \cdot 1 - \frac{24.482304}{b} \cdot \frac{0.2592}{b}$

Step 6.1.3

Multiply $- 1$ by $1$ .

$152.88192 + \frac{39.62699366}{b} - \frac{24.482304}{b} - \frac{24.482304}{b} \cdot \frac{0.2592}{b}$

Step 6.1.4

Multiply $- \frac{24.482304}{b} \cdot \frac{0.2592}{b}$ .

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Step 6.1.4.1

Multiply $\frac{0.2592}{b}$ by $\frac{24.482304}{b}$ .

$152.88192 + \frac{39.62699366}{b} - \frac{24.482304}{b} - \frac{0.2592 \cdot 24.482304}{b \cdot b}$

Step 6.1.4.2

Multiply $0.2592$ by $24.482304$ .

$152.88192 + \frac{39.62699366}{b} - \frac{24.482304}{b} - \frac{6.34581319}{b \cdot b}$

Step 6.1.4.3

Raise $b$ to the power of $1$ .

$152.88192 + \frac{39.62699366}{b} - \frac{24.482304}{b} - \frac{6.34581319}{b^{1} b}$

Step 6.1.4.4

Raise $b$ to the power of $1$ .

$152.88192 + \frac{39.62699366}{b} - \frac{24.482304}{b} - \frac{6.34581319}{b^{1} b^{1}}$

Step 6.1.4.5

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$152.88192 + \frac{39.62699366}{b} - \frac{24.482304}{b} - \frac{6.34581319}{b^{1 + 1}}$

Step 6.1.4.6

Add $1$ and $1$ .

$152.88192 + \frac{39.62699366}{b} - \frac{24.482304}{b} - \frac{6.34581319}{b^{2}}$

Step 6.2

Combine the numerators over the common denominator.

$152.88192 + \frac{39.62699366 - 24.482304}{b} - \frac{6.34581319}{b^{2}}$

Step 7

Subtract $24.482304$ from $39.62699366$ .

$152.88192 + \frac{15.14468966}{b} - \frac{6.34581319}{b^{2}}$