Algebra Examples

$(32 i) (- 8 i) (11 - i) - 42$

Step 1

Simplify each term.

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Step 1.1

Multiply $(32 i) (- 8 i)$ .

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Step 1.1.1

Multiply $- 8$ by $32$ .

$- 256 i i (11 - i) - 42$

Step 1.1.2

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

$- 256 (i^{1} i) (11 - i) - 42$

Step 1.1.3

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

$- 256 (i^{1} i^{1}) (11 - i) - 42$

Step 1.1.4

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

$- 256 i^{1 + 1} (11 - i) - 42$

Step 1.1.5

Add $1$ and $1$ .

$- 256 i^{2} (11 - i) - 42$

$- 256 i^{2} (11 - i) - 42$

Step 1.2

Rewrite $i^{2}$ as $- 1$ .

$- 256 \cdot - 1 (11 - i) - 42$

Step 1.3

Multiply $- 256$ by $- 1$ .

$256 (11 - i) - 42$

Step 1.4

Apply the distributive property.

$256 \cdot 11 + 256 (- i) - 42$

Step 1.5

Multiply $256$ by $11$ .

$2816 + 256 (- i) - 42$

Step 1.6

Multiply $- 1$ by $256$ .

$2816 - 256 i - 42$

$2816 - 256 i - 42$

Step 2

Subtract $42$ from $2816$ .

$2774 - 256 i$

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