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Andre45 [30]
3 years ago
7

Find each of these values.

Mathematics
1 answer:
podryga [215]3 years ago
4 0
192=4\cdot41+28\iff192\equiv28\pmod{41}
28=3\cdot9+1\iff28\equiv1\pmod9

323=24\cdot13+11\iff323\equiv11\pmod{13}
11^2\equiv0\pmod{11}

73=3\cdot23+4\iff73\equiv4\pmod{23}
4^2\equiv16\pmod{31}

212=14\cdot15+2\iff212\equiv2\pmod{15}
2^3\equiv8\pmod{22}
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Rules to use
Rule 1: x^2 = x*x
Rule 2: (a+b)*(c+d) = a*(c+d)+b*(c+d)
Rule 3: a*(b+c) = a*b+a*c

Using those rules, we get the following
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(6+u)^2 = 6*(6+u)+u*(6+u) ... use rule 2
(6+u)^2 = 6*6+6*u+u*6+u*u ... use rule 3
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