Find the x and y Intercepts y=(10x)/((x+3)^2)

$y = \frac{10 x}{{(x + 3)}^{2}}$

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = \frac{10 x}{{(x + 3)}^{2}}$

Solve the equation.

Set the numerator equal to zero.

$10 x = 0$

Divide each term in $10 x = 0$ by $10$ and simplify.

Divide each term in $10 x = 0$ by $10$ .

$\frac{10 x}{10} = \frac{0}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 x}{10} = \frac{0}{10}$

Divide $x$ by $1$ .

$x = \frac{0}{10}$

Simplify the right side.

Divide $0$ by $10$ .

$x = 0$

x-intercept(s) in point form.

x-intercept(s): $(0, 0)$

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = \frac{10 (0)}{{((0) + 3)}^{2}}$

Solve the equation.

Remove parentheses.

$y = \frac{10 (0)}{{(0 + 3)}^{2}}$

Remove parentheses.

$y = \frac{10 (0)}{{((0) + 3)}^{2}}$

Simplify $\frac{10 (0)}{{((0) + 3)}^{2}}$ .

Multiply $10$ by $0$ .

$y = \frac{0}{{(0 + 3)}^{2}}$

Simplify the denominator.

Add $0$ and $3$ .

$y = \frac{0}{3^{2}}$

Raise $3$ to the power of $2$ .

$y = \frac{0}{9}$

Divide $0$ by $9$ .

$y = 0$

y-intercept(s) in point form.

y-intercept(s): $(0, 0)$

List the intersections.

x-intercept(s): $(0, 0)$

y-intercept(s): $(0, 0)$