Algebra Examples

$\frac{9 n^{3} p^{3} - 18 n^{2} p^{2} + 21 n^{2} p^{3}}{3 n^{2} p^{2}}$

Step 1

Factor $3 n^{2} p^{2}$ out of $9 n^{3} p^{3} - 18 n^{2} p^{2} + 21 n^{2} p^{3}$ .

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Step 1.1

Factor $3 n^{2} p^{2}$ out of $9 n^{3} p^{3}$ .

$\frac{3 n^{2} p^{2} (3 n p) - 18 n^{2} p^{2} + 21 n^{2} p^{3}}{3 n^{2} p^{2}}$

Step 1.2

Factor $3 n^{2} p^{2}$ out of $- 18 n^{2} p^{2}$ .

$\frac{3 n^{2} p^{2} (3 n p) + 3 n^{2} p^{2} (- 6) + 21 n^{2} p^{3}}{3 n^{2} p^{2}}$

Step 1.3

Factor $3 n^{2} p^{2}$ out of $21 n^{2} p^{3}$ .

$\frac{3 n^{2} p^{2} (3 n p) + 3 n^{2} p^{2} (- 6) + 3 n^{2} p^{2} (7 p)}{3 n^{2} p^{2}}$

Step 1.4

Factor $3 n^{2} p^{2}$ out of $3 n^{2} p^{2} (3 n p) + 3 n^{2} p^{2} (- 6)$ .

$\frac{3 n^{2} p^{2} (3 n p - 6) + 3 n^{2} p^{2} (7 p)}{3 n^{2} p^{2}}$

Step 1.5

Factor $3 n^{2} p^{2}$ out of $3 n^{2} p^{2} (3 n p - 6) + 3 n^{2} p^{2} (7 p)$ .

$\frac{3 n^{2} p^{2} (3 n p - 6 + 7 p)}{3 n^{2} p^{2}}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Cancel the common factor.

$\frac{3 n^{2} p^{2} (3 n p - 6 + 7 p)}{3 n^{2} p^{2}}$

Step 2.2

Rewrite the expression.

$\frac{n^{2} p^{2} (3 n p - 6 + 7 p)}{n^{2} p^{2}}$

Step 3

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

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Step 3.1

Cancel the common factor.

$\frac{n^{2} p^{2} (3 n p - 6 + 7 p)}{n^{2} p^{2}}$

Step 3.2

Rewrite the expression.

$\frac{p^{2} (3 n p - 6 + 7 p)}{p^{2}}$

Step 4

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

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Step 4.1

Cancel the common factor.

$\frac{p^{2} (3 n p - 6 + 7 p)}{p^{2}}$

Step 4.2

Divide $3 n p - 6 + 7 p$ by $1$ .

$3 n p - 6 + 7 p$

Step 5

Move $- 6$ .

$3 n p + 7 p - 6$