Basic Math Examples

$- z + \frac{3}{4} + 83 z^{6} - z - \frac{1}{2} - 2 z^{6}$

Step 1

Subtract $z$ from $- z$ .

$- 2 z + \frac{3}{4} + 83 z^{6} - \frac{1}{2} - 2 z^{6}$

Step 2

To write $- \frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- 2 z + 83 z^{6} + \frac{3}{4} - \frac{1}{2} \cdot \frac{2}{2} - 2 z^{6}$

Step 3

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

$- 2 z + 83 z^{6} + \frac{3}{4} - \frac{2}{2 \cdot 2} - 2 z^{6}$

Step 3.2

Multiply $2$ by $2$ .

$- 2 z + 83 z^{6} + \frac{3}{4} - \frac{2}{4} - 2 z^{6}$

Step 4

Simplify the expression.

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Step 4.1

Combine the numerators over the common denominator.

$- 2 z + 83 z^{6} + \frac{3 - 2}{4} - 2 z^{6}$

Step 4.2

Subtract $2$ from $3$ .

$- 2 z + 83 z^{6} + \frac{1}{4} - 2 z^{6}$

Step 5

Subtract $2 z^{6}$ from $83 z^{6}$ .

$- 2 z + 81 z^{6} + \frac{1}{4}$

Step 6

Reorder $- 2 z$ and $81 z^{6}$ .

$81 z^{6} - 2 z + \frac{1}{4}$