Simplify (17z^3+17z^2)/(34z^3-51z^2)

$\frac{17 z^{3} + 17 z^{2}}{34 z^{3} - 51 z^{2}}$

Step 1

Factor $17 z^{2}$ out of $17 z^{3} + 17 z^{2}$ .

Factor $17 z^{2}$ out of $17 z^{3}$ .

$\frac{17 z^{2} (z) + 17 z^{2}}{34 z^{3} - 51 z^{2}}$

Factor $17 z^{2}$ out of $17 z^{2}$ .

$\frac{17 z^{2} (z) + 17 z^{2} (1)}{34 z^{3} - 51 z^{2}}$

Factor $17 z^{2}$ out of $17 z^{2} (z) + 17 z^{2} (1)$ .

$\frac{17 z^{2} (z + 1)}{34 z^{3} - 51 z^{2}}$

Step 2

Factor $17 z^{2}$ out of $34 z^{3} - 51 z^{2}$ .

Factor $17 z^{2}$ out of $34 z^{3}$ .

$\frac{17 z^{2} (z + 1)}{17 z^{2} (2 z) - 51 z^{2}}$

Factor $17 z^{2}$ out of $- 51 z^{2}$ .

$\frac{17 z^{2} (z + 1)}{17 z^{2} (2 z) + 17 z^{2} (- 3)}$

Factor $17 z^{2}$ out of $17 z^{2} (2 z) + 17 z^{2} (- 3)$ .

$\frac{17 z^{2} (z + 1)}{17 z^{2} (2 z - 3)}$

Step 3

Cancel the common factor of $17$ .

Cancel the common factor.

$\frac{17 z^{2} (z + 1)}{17 z^{2} (2 z - 3)}$

Rewrite the expression.

$\frac{z^{2} (z + 1)}{z^{2} (2 z - 3)}$

Step 4

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

Cancel the common factor.

$\frac{z^{2} (z + 1)}{z^{2} (2 z - 3)}$

Rewrite the expression.

$\frac{z + 1}{2 z - 3}$