How do you simplify  (x+3) (x - 2)?

May 11, 2015

$= {x}^{2} + x - 6$

Explanation:

The two brackets are multiplied by each other.

• To start, multiply the first term in the first bracket by the first term in the second bracket.
$= \left(x\right) \left(x\right) = {x}^{2}$
In other words, x squared or x to the power of two.
For right now, your equation is:
${x}^{2}$
• Multiplying the first term in the first bracket ($x$) by the second term in the second bracket = $\left(- 2\right)$
${x}^{2} - 2 x$

• multiplying the second variable in the first bracket by the first variable in the second bracket.
This is going to be $\left(3\right) \left(x\right)$
${x}^{2} - 2 x + 3 x$

• You now have to multiply the second term in the first bracket by the second term in the second bracket.
This is going to be $\left(3\right) . \left(- 2\right)$

Your equation will now look like
${x}^{2} - 2 x + 3 x - 6$

• Next step
You need to combine like variables.

$- 2 x + 3 x = x$

You now have your simplified answer color(red)(x^2+x-6