p2 + 2pq + q2 = 1q2 + 2pq + (p2 - 1) = 0q = 1/2 [ -2p plus or minus sqrt( 4p2 - 4p2 + 4 ) ]q = -1 - pq = 1 - p
It is 820p2 - 4p - 32.
8p3 + 1 = (2p + 1)(4p2 - 2p + 1)
120 four letter permutations if you don't allow more than one 'o' in the four letterarrangement.209 four letter permutations if you allow two, three and all four 'o'.1.- Let set A = {t,l,r,m,}, and set B = {o,o,o,o}.2.- From set A, the number of 4 letter permutations is 4P4 = 24.3.- 3 letters from set A give 4P3 = 24, and one 'o' can take 4 different positions in theword. That gives us 24x4 = 96 four letter permutations.4.- In total, 24 + 96 = 120 different four letter permutations.5.- If the other three 'o' are allowed to play, then you have 2 letters from set A thatgive 4P2 = 12 permutations and two 'o' can take 4C2 = 6 position's, giving 12x6 = 72four letter permutations.6.- One letter from set A we have 4P1 = 4, each one can take 4 different positions, therest of the spaces taken by three 'o' gives 4x4 = 16 different permutations.7.- The four 'o' make only one permutation.8.- So now we get 72 + 16 + 1 = 89 more arrangements adding to a total of 89 + 120 = 209 different 4 letter arrangements made from the letters of the word toolroom.[ nCr = n!/((n-r)!∙r!); nPr = n!/(n-r)! ]
p2 + 2pq + q2 = 1q2 + 2pq + (p2 - 1) = 0q = 1/2 [ -2p plus or minus sqrt( 4p2 - 4p2 + 4 ) ]q = -1 - pq = 1 - p
It is 820p2 - 4p - 32.
8p3 + 1 = (2p + 1)(4p2 - 2p + 1)
20p2 + 100p + 125 = 5(4p2 + 20p + 25) = 5(4p2 + 10p + 10p + 25) = 5(2p(2p + 5) + 5(2p + 5)) = 5(2p + 5)(2p + 5) = 5(2p + 5)2
(2p)2 = 4p2
(2p - 3)(2p + 1)
2 x 2 x p x p
[Ar] 3d10 4s2 4p2
The electron configuration notation for germanium (Ge) is [Ar] 3d10 4s2 4p2. This notation represents the distribution of electrons in the energy levels and sublevels of germanium's atomic structure.
The noble gas notation for Ge (Germanium) is [Ar] 3d10 4s2 4p2. This notation represents the electron configuration of Germanium by using the noble gas Argon as a shortcut to indicate the filled inner shells.
The noble gas notation for germanium is [Ar] 3d10 4s2 4p2. This notation represents the electron configuration of germanium with the argon noble gas core followed by the valence electrons in the 4s and 4p orbitals.
There are 2 electrons indicated in 4p2. The "4" represents the principal energy level, and the "p" represents the orbital type. The superscript "2" indicates the number of electrons in the 4p orbital.