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

1 Answer
Jun 26, 2016

Answer:

#(x+2)(x-6) = x^2-4x-12#

Explanation:

We can use the FOIL mnemonic to help identify the combinations we need to multiply and add:

#(x+2)(x-6) = overbrace((x*x))^"First" + overbrace((x*-6))^"Outside" + overbrace((2*x))^"Inside" + overbrace((2*-6))^"Last"#

#=x^2-6x+2x-12#

#=x^2-4x-12#