Basic Math Examples

$\frac{27 z^{8} + 12 z^{5} + 24 z^{2}}{3 z^{2}}$

Step 1

Factor $3 z^{2}$ out of $27 z^{8} + 12 z^{5} + 24 z^{2}$ .

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Step 1.1

Factor $3 z^{2}$ out of $27 z^{8}$ .

$\frac{3 z^{2} (9 z^{6}) + 12 z^{5} + 24 z^{2}}{3 z^{2}}$

Step 1.2

Factor $3 z^{2}$ out of $12 z^{5}$ .

$\frac{3 z^{2} (9 z^{6}) + 3 z^{2} (4 z^{3}) + 24 z^{2}}{3 z^{2}}$

Step 1.3

Factor $3 z^{2}$ out of $24 z^{2}$ .

$\frac{3 z^{2} (9 z^{6}) + 3 z^{2} (4 z^{3}) + 3 z^{2} (8)}{3 z^{2}}$

Step 1.4

Factor $3 z^{2}$ out of $3 z^{2} (9 z^{6}) + 3 z^{2} (4 z^{3})$ .

$\frac{3 z^{2} (9 z^{6} + 4 z^{3}) + 3 z^{2} (8)}{3 z^{2}}$

Step 1.5

Factor $3 z^{2}$ out of $3 z^{2} (9 z^{6} + 4 z^{3}) + 3 z^{2} (8)$ .

$\frac{3 z^{2} (9 z^{6} + 4 z^{3} + 8)}{3 z^{2}}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Cancel the common factor.

$\frac{3 z^{2} (9 z^{6} + 4 z^{3} + 8)}{3 z^{2}}$

Step 2.2

Rewrite the expression.

$\frac{z^{2} (9 z^{6} + 4 z^{3} + 8)}{z^{2}}$

Step 3

Cancel the common factor of $z^{2}$ .

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Step 3.1

Cancel the common factor.

$\frac{z^{2} (9 z^{6} + 4 z^{3} + 8)}{z^{2}}$

Step 3.2

Divide $9 z^{6} + 4 z^{3} + 8$ by $1$ .

$9 z^{6} + 4 z^{3} + 8$