Question

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

Answer 1

`= 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.
  `=(x)(x) = 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 = `(-2)`
  Your equation will now become:
  `x^2-2x`

• multiplying the second variable in the first bracket by the first variable in the second bracket.
  This is going to be `(3)(x)`
  Your equation will now become:
  `x^2-2x+3x`

• 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 `(3).(-2)`

Your equation will now look like
`x^2-2x+3x-6`

• Next step
  You need to combine like variables.

`-2x+3x= x`

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