Algebra Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Raise $4$ to the power of $3$ .

$\frac{3 \cdot 64 + 3 - (3 \cdot 2^{3} + 3)}{4 - 2}$

Step 1.2

Multiply $3$ by $64$ .

$\frac{192 + 3 - (3 \cdot 2^{3} + 3)}{4 - 2}$

Step 1.3

Simplify each term.

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Step 1.3.1

Raise $2$ to the power of $3$ .

$\frac{192 + 3 - (3 \cdot 8 + 3)}{4 - 2}$

Step 1.3.2

Multiply $3$ by $8$ .

$\frac{192 + 3 - (24 + 3)}{4 - 2}$

Step 1.4

Add $24$ and $3$ .

$\frac{192 + 3 - 1 \cdot 27}{4 - 2}$

Step 1.5

Multiply $- 1$ by $27$ .

$\frac{192 + 3 - 27}{4 - 2}$

Step 1.6

Add $192$ and $3$ .

$\frac{195 - 27}{4 - 2}$

Step 1.7

Subtract $27$ from $195$ .

$\frac{168}{4 - 2}$

Step 2

Simplify the expression.

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Step 2.1

Subtract $2$ from $4$ .

$\frac{168}{2}$

Step 2.2

Divide $168$ by $2$ .

$84$