Simplify (k+10)*(k+10)/(3k^2+30k)

$(k + 10) \cdot \frac{k + 10}{3 k^{2} + 30 k}$

Step 1

Factor $3 k$ out of $3 k^{2} + 30 k$ .

Factor $3 k$ out of $3 k^{2}$ .

$(k + 10) \cdot \frac{k + 10}{3 k (k) + 30 k}$

Factor $3 k$ out of $30 k$ .

$(k + 10) \cdot \frac{k + 10}{3 k (k) + 3 k (10)}$

Factor $3 k$ out of $3 k (k) + 3 k (10)$ .

$(k + 10) \cdot \frac{k + 10}{3 k (k + 10)}$

Step 2

Cancel the common factor of $k + 10$ .

Factor $k + 10$ out of $3 k (k + 10)$ .

$(k + 10) \cdot \frac{k + 10}{(k + 10) (3 k)}$

Cancel the common factor.

$(k + 10) \cdot \frac{k + 10}{(k + 10) (3 k)}$

Rewrite the expression.

$\frac{k + 10}{3 k}$