Simplify (6x^2+30x+36)÷(x+3)

$(6 x^{2} + 30 x + 36) \div (x + 3)$

Rewrite the division as a fraction.

$\frac{6 x^{2} + 30 x + 36}{x + 3}$

Simplify the numerator.

Factor $6$ out of $6 x^{2} + 30 x + 36$ .

Factor $6$ out of $6 x^{2}$ .

$\frac{6 (x^{2}) + 30 x + 36}{x + 3}$

Factor $6$ out of $30 x$ .

$\frac{6 (x^{2}) + 6 (5 x) + 36}{x + 3}$

Factor $6$ out of $36$ .

$\frac{6 x^{2} + 6 (5 x) + 6 \cdot 6}{x + 3}$

Factor $6$ out of $6 x^{2} + 6 (5 x)$ .

$\frac{6 (x^{2} + 5 x) + 6 \cdot 6}{x + 3}$

Factor $6$ out of $6 (x^{2} + 5 x) + 6 \cdot 6$ .

$\frac{6 (x^{2} + 5 x + 6)}{x + 3}$

Factor $x^{2} + 5 x + 6$ using the AC method.

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 $6$ and whose sum is $5$ .

$2, 3$

Write the factored form using these integers.

$\frac{6 ((x + 2) (x + 3))}{x + 3}$

$\frac{6 (x + 2) (x + 3)}{x + 3}$

Simplify terms.

Cancel the common factor of $x + 3$ .

Cancel the common factor.

$\frac{6 (x + 2) (x + 3)}{x + 3}$

Divide $6 (x + 2)$ by $1$ .

$6 (x + 2)$

Apply the distributive property.

$6 x + 6 \cdot 2$

Multiply $6$ by $2$ .

$6 x + 12$

Simplify (6x^2+30x+36)÷(x+3)

Related Questions

Support LCMGCF.com by disabling your adblocker.