How do you foil ( x+8) (x - 8)(x+8)(x8)?

1 Answer
Sep 18, 2015

=color(blue)(x^2-64=x264

Explanation:

The expression is : (x+8)(x-8)(x+8)(x8)

F O I L involves carrying out the below operations in the following order:

1) product of First terms :(color(blue)(x and x))(xandx)+

2)product of Outside terms:(color(blue)(x and -8))(xand8)+

3)product of Inside terms:(color(blue)(8 and x))(8andx)+

4)product of Last terms:(color(blue)(8 and -8))(8and8)

1) x *x=color(blue)(x^2) +xx=x2+

2) x * -8=-color(blue)(8x)+x8=8x+

3) 8 * x = color(blue)(8x)+8x=8x+

4) 8 *-8 = color(blue)(-6488=64

adding all the terms

=color(blue)(x^2-8x +8x -64=x28x+8x64
=color(blue)(x^2-64=x264