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

1 Answer

Answer:

#= 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#