Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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

$\frac{3}{2} \cdot (64 - 1 \cdot 4 \cdot 3^{2})$

Step 1.3

Multiply $- 1$ by $4$ .

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

Step 1.4

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

$\frac{3}{2} \cdot (64 - 4 \cdot 9)$

Step 1.5

Multiply $- 4$ by $9$ .

$\frac{3}{2} \cdot (64 - 36)$

$\frac{3}{2} \cdot (64 - 36)$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Subtract $36$ from $64$ .

$\frac{3}{2} \cdot 28$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $28$ .

$\frac{3}{2} \cdot (2 (14))$

Step 2.2.2

Cancel the common factor.

$\frac{3}{2} \cdot (2 \cdot 14)$

Step 2.2.3

Rewrite the expression.

$3 \cdot 14$

$3 \cdot 14$

Step 2.3

Multiply $3$ by $14$ .

$42$

$42$

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