What is the product of (x-2)(x+6)

x²+4x−12

Step-by-step explanation:

=(x+−2)(x+6)

=(x)(x)+(x)(6)+(−2)(x)+(−2)(6)

=x²+6x−2x−12

=x²+4x−12

- You multiply the first x and the first x in the second bracket

= x²

- You multiply the first x and the last number in the second bracket (6)

= 6x

-You multiply -2 and the first number of the second bracket x

= -2x

- You multiply both the last numbers in both of the brackets

= -2 x 6

= -12

then write it all out

=x²+6x−2x−12

=x²+ ( you have like terms so add them) -12

=x²+4x−12