How do you multiply (x - 7) (x + 7)(x7)(x+7)?

1 Answer
Jul 13, 2015

=color(blue)(x^2-49=x249

Explanation:

color(blue)((a-b)(a+b) = a^2-b^2(ab)(a+b)=a2b2

The same property can be applied to the expression (x-7)(x+7)(x7)(x+7) where color(blue)(a)=x, color(blue)(b)=7a=x,b=7

So,
(x-7)(x+7) = x^2-7^2(x7)(x+7)=x272

=color(blue)(x^2-49=x249