You want:
abc + ab
Factor out the common terms which are "a" and "b"
ab ( c + 1 )
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i think its ABC and if that not right ask a teacher for the answer
abcd
If the inputs are ABC. The inputs required to give an output are ABC, AB, AC and BC. Using the Absorption law X + X.Y = X we can remove ABC, the inputs required are therefore AB, AC and BC.
In this case you want to group the terms so they have at least two terms in common. First step group and rewrite it: abc + a'bc + a'b'c' + a'b'c + ab'c' + abc' = Use the rule Identities x(y+z)=xy+xz: bc(a+a') + a'b'(c'+c) + ac'(b'+b) = Use the rule Identities x+x'=1: bc (1) + a'b'(1) + ac'(1) = Use the rule Identities x(1) = x: bc+a'b'+ac'
Depending on your school they will go, Applied Geometry (D average or lower), Geometry ( C and above), Problem Solving A (D in geometry), Algebra 2 (C or better in Geometry), Problem solving B (D or lower in Algebra 2), Calculus AB (C or better in Algebra 2) and Calculus BC (requires AB)