How do you find the product of (x + 2)(x - 2)(x+2)(x2)?

1 Answer
Jul 4, 2017

x^2-4x24

Explanation:

"each term in the second bracket is multiplied by each term"each term in the second bracket is multiplied by each term
"in the first bracket"in the first bracket

(color(red)(x+2))(x-2)(x+2)(x2)

=color(red)(x)(x-2)color(red)(+2)(x-2)=x(x2)+2(x2)

=(color(red)(x)xx x)+(color(red)(x)xx-2)+(color(red)(2)xx x)+(color(red)(2)xx2)=(x×x)+(x×2)+(2×x)+(2×2)

=x^2+(-2x)+2x+4=x2+(2x)+2x+4

=x^2-2x+2x+4=x22x+2x+4

=x^2-4=x24