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If A and B have no common factors other than one, the LCM is their product.
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If GCF ab 1 then LCM ab ab?
LCM is the multiple of the highest power of prime factors in two or more numbers. Example: LCM of 9, 15, and 25 is 225, which is the multiple of the highest power of prime factors in 9, 15, and 25 (32 x 52).
What is the LCM of ab and bc?
It depends on whether or not a and c are coprime (have no factors in common). Suppose x is the greatest common factor of a and c, where x = 1 if a and c are coprime. ie GCF(a, c) = x then let a = x*m and c = x*n where m and n are coprime then LCM(ab, bc) = LCM(x*m*b, x*n*b) = x*m*n*b
Does the HCF of any two no is always a factor of their LCM?
If two numbers are expressed as ab and cb this is easier to work out. Assume that a and c have no common prime factors. Thus, the HCF of the two numbers will be b. The LCM is the two numbers multiplied by each other, divided by the HCF. So the LCM will be abc. b is a factor of abc, and so the HCF will always be a factor of their LCM.
How do you factor ax-xb-ay plus yb?
Recall distributivity a(b + c) = ab + ac = (b + c)a and associativity (ab)c = a(bc) (a + b) + c = a + (b + c) as well as commutativity ab = ba a + b = b + a we are gonna need those. See for yourself when I applied each to learn the trick: ax - bx - ay + yb = (ax - bx) + (-ay + yb) = x(a - b) + -y(a - b) = (x - y)(a - b)
What is the factor of ab?
a and b are factors of ab
If ab then ba?
If these are vectors, then ba = - ab
What are all the possible allele combinations for NNBb?
NB, Nb
What is gcd of (ab)(ba)?
The GCF is ab
Odd number of a's and even number of b's in regular expression automata?
[(aa + bb) + (ab+ba)(aa+bb)*(ab+ba)]*[a + (ab+ba)(aa+bb)*b]
Is AB the same as BA?
Yes.
What is another name for the line segment AB?
Line BA
Prove that if gcd(a,b)=1, then lcm(a,b)=ab?
gcd(a,b) = 1, Since lcm is the multiple of a and b, a|lcm(a,b) =⇒ lcm(a,b) = ax b|lcm(a,b) =⇒ b|ax =⇒ ax = bq for q∈Z Since gcd(a,b) = 1,b |x and b≤x =⇒ ab ≤ ax ---→ (O1) However, ax is the least common multiple and ab is a common multiple of a and b, ax ≤ ab ---→ (O2) by (O1) and (O2) , ax = ab lcm(a,b) = ab
Is ray AB always the same as ray BA?
Yes, provided it is the ray. If AB is a vector then the answer is no.
Name a pair of opposite rays?
AB and BA.
Name AB in another way?
I think its BA.
Is line AB the same of line BA?
yes it is
Does Ray AB equal Ray BA?
Yes.
