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Distributive property
• Distributing – take something and
  share it around
          a(b+c) = ab + ac

• Multiplication
• Every term inside the brackets
FOIL method - distribution
•   (a + b) (c + d)
•   F irst two = ac
•   O uter two = ad
•   I nner two = bc
•   L ast two = bd
•   Result = ac+ad+bc+bd
The key insights ..
• ab + a = a(b+1) = a

• ab + ab = b(a+a) = b

• a+(b.c) = (a+b)(a+c)
deMorganising

a+b     a.b


a.b     a+b


a.b     a+b


a.b     a+b

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Distributive property

  • 1. Distributive property • Distributing – take something and share it around a(b+c) = ab + ac • Multiplication • Every term inside the brackets
  • 2. FOIL method - distribution • (a + b) (c + d) • F irst two = ac • O uter two = ad • I nner two = bc • L ast two = bd • Result = ac+ad+bc+bd
  • 3. The key insights .. • ab + a = a(b+1) = a • ab + ab = b(a+a) = b • a+(b.c) = (a+b)(a+c)
  • 4. deMorganising a+b a.b a.b a+b a.b a+b a.b a+b