Simplify (y^2+8y)/(y^2-9)+(2y+21)/(y^2-9)

Solve Math

Algebra

$\frac{y^{2} + 8 y}{y^{2} - 9} + \frac{2 y + 21}{y^{2} - 9}$

Simplify terms.

Tap for more steps...

Combine the numerators over the common denominator.

$\frac{y^{2} + 8 y + 2 y + 21}{y^{2} - 9}$

Add $8 y$ and $2 y$ .

$\frac{y^{2} + 10 y + 21}{y^{2} - 9}$

Factor $y^{2} + 10 y + 21$ using the AC method.

Tap for more steps...

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $21$ and whose sum is $10$ .

$3, 7$

Write the factored form using these integers.

$\frac{(y + 3) (y + 7)}{y^{2} - 9}$

Simplify the denominator.

Tap for more steps...

Rewrite $9$ as $3^{2}$ .

$\frac{(y + 3) (y + 7)}{y^{2} - 3^{2}}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = y$ and $b = 3$ .

$\frac{(y + 3) (y + 7)}{(y + 3) (y - 3)}$

Cancel the common factor of $y + 3$ .

Tap for more steps...

Cancel the common factor.

$\frac{(y + 3) (y + 7)}{(y + 3) (y - 3)}$

Rewrite the expression.

$\frac{y + 7}{y - 3}$

Do you know how to Simplify (y^2+8y)/(y^2-9)+(2y+21)/(y^2-9)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Factor x^2-5x+4

Simplify i^4*2

Find the Inverse Function f(x)=x^3-5

Graph y=4x-6

Solve for d A=1/2h(c+d)