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- Mathematics Stack Exchange In boolean algebra, why is a+a'b = a+b? [duplicate] Asked 7 years, 3 months ago Modified 3 years, 11 months ago Viewed 87k times 9 This question already has answers here : 'Algebraic' way to prove the boolean identity a +a¯¯¯ ∗ b = a + b a + a ¯ ∗ b = a + b (2 answers) Closed 7 years ago.


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View solution steps Quiz Algebra a(a+b)−b(a−b)= Similar Problems from Web Search How do you solve the system 3a − 3b + 4c = −23 , a + 2b − 3c = 25 , and 4a − b + c = 25 ? https://socratic.org/questions/how-do-you-solve-the-system-3a-3b-4c-23-a-2b-3c-25-and-4a-b-c-25


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A B-1B Lancer at Ellsworth AFB, South Dakota. Credit: U.S. Air Force The crew of a Rockwell B-1B Lancer ejected safely before the swept-wing bomber crashed at Ellsworth AFB, South Dakota, on Jan.


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The B-1 is a long-range, multi-mission and supersonic conventional bomber, according to the Air Force. It has served the Air Force since the 1980s and the United States eliminated the nuclear.


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Eva Marie Uzcategui/Bloomberg News. After Allstate suffered billions of dollars in losses and failed to get the rate increases it wanted, it resorted to the nuclear option. The insurance giant.


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Her front porch was a sanctuary of sorts for the Durant family, a gathering place on Sundays to congregate, break bread, celebrate the good times and weather the bad. Her enduring memory lives on in this special design, featuring her favorite color, purple. Check the tongue and insole for her initials, B.A.D. Shown: Field Purple/Rush Fuchsia


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Algebra Simplify (a-b) (a+b) (a − b) (a + b) ( a - b) ( a + b) Expand (a−b)(a+b) ( a - b) ( a + b) using the FOIL Method. Tap for more steps. a⋅a+ab− ba−b⋅b a ⋅ a + a b - b a - b ⋅ b Simplify terms. Tap for more steps. a2 − b2 a 2 - b 2


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Basic Math Simplify a/ (a-b)+b/ (b-a) a a − b + b b − a a a - b + b b - a Factor −1 - 1 out of b b. a a−b + b −1(−b)−a a a - b + b - 1 ( - b) - a Factor −1 - 1 out of −a - a. a a−b + b −1(−b)−(a) a a - b + b - 1 ( - b) - ( a) Factor −1 - 1 out of −1(−b)− (a) - 1 ( - b) - ( a). a a−b + b −1(−b+a) a a - b + b - 1 ( - b + a) Simplify the expression.


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The basic algebraic properties of real numbers a,b and c are: 1. Closure: a + b and ab are real numbers 2. Commutative: a + b = b + a, ab = ba 3. Associative: (a+b) + c = a + (b+c), (ab)c = a(bc) 4. Distributive: (a+b)c = ac+bc 5. Identity: a+0 = 0+a = a 6. Inverse: a + (-a) = 0, a(1/a) = 1 7. Cancelation: If a+x=a+y, then x=y 8. Zero-factor.


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In normal regular expression grammar, (a+b)* means zero or more of any sequence that start with a, then have zero or more a, then a b. This discounts things like baa (it doesn't start with a ), abba, and a (there must be one exactly b after each a group), so is not correct. (a*b*)* means zero or more of any sequence that contain zero or more a.


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Algebra Reduce (a-b)/ (b-a) a − b b − a a - b b - a Factor −1 - 1 out of a a. −1(−a)− b b−a - 1 ( - a) - b b - a Factor −1 - 1 out of −b - b. −1(−a)− (b) b−a - 1 ( - a) - ( b) b - a Factor −1 - 1 out of −1(−a)− (b) - 1 ( - a) - ( b). −1(−a+ b) b−a - 1 ( - a + b) b - a Reorder terms. −1(−a+ b) −a+b - 1 ( - a + b) - a + b Cancel the common factor.


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The deaths included 70 people in Wajima, 70 in Suzu, 18 in Anamizu and the rest were spread among four other towns. At least 323 people were still unaccounted for, a jump from some 100 earlier in.


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a^2-2ab+b^2 We multiply each term as follows a(a)+(a)(-b)+(-b)(a)+(-b)(-b) a^2-ab-ba+b^2 a^2-ab-ab+b^2 a^2-2ab+b^2 Or you can use the FOIL method. This is the same thing but just visualizing differently. FOIL stands for First Outside Inside Last First multiply the first terms in (a-b)(a-b) a(a)=a^2 Now add the products of the Outside and Inside terms a^2+(a)(-b)+(-b)(a)=a^2-2ab Finally we add.