Calculus Examples

$x (x + 9) + (x + 9)$

Step 1

Remove parentheses.

$x (x + 9) + x + 9$

Step 2

Apply the distributive property.

$x \cdot x + x \cdot 9 + x + 9$

Step 3

Multiply $x$ by $x$ .

$x^{2} + x \cdot 9 + x + 9$

Step 4

Move $9$ to the left of $x$ .

$x^{2} + 9 x + x + 9$

Step 5

Add $9 x$ and $x$ .

$x^{2} + 10 x + 9$

Step 6

Factor $x^{2} + 10 x + 9$ using the AC method.

Tap for more steps...

Step 6.1

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 $9$ and whose sum is $10$ .

$1, 9$

Step 6.2

Write the factored form using these integers.

$(x + 1) (x + 9)$