# How do you multiply 3(x^2+2x+6)?

Apr 6, 2018

Multiply each term by 3

#### Explanation:

take ${x}^{2} \cdot 3$ and $2 x \cdot 3$ and $6 \cdot 3$
$3 {x}^{2} + 6 x + 18$

Apr 6, 2018

$3 {x}^{2} + 6 x + 18$

Here's how I did it:

#### Explanation:

To solve this, we distribute or multiply the $3$ with everything inside the parenthesis:
$3 \cdot {x}^{2} = 3 {x}^{2}$

$3 \cdot 2 x = 6 x$

$3 \cdot 6 = 18$

Therefore, we can combine all these expressions and write the product:
$3 {x}^{2} + 6 x + 18$

Hope this helps!