Posted by Bill on Friday, January 11, 2013 at 11:05am.
Foil Left side gives you:
= a^2c^2 + a^2d^2 + b^2c^2 + b^2d^2
= (ac)^2 + (ad)^2 + (bc)^2 + (bd)^2
Foil Right side (ac+bd)^2
= ac x ac + ac x bd + ac x bd + bd x bc
= (ac)^2 + 1acbd + 1acbd + (bd)^2
Foil (ad-bc)^2
= ad x ad - bc x ad - bc x ad + bc x bc
= (ad)^2 - 1acbd - 1acbd + (bc)^2
Combine all terms on right side
left with (ac)^2 + (bd)^2 + (ad)^2 + (bc)^2
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