Question

linear combination of 592 and 252

Answer 1

592=252×2+88
252=88×2+76
88=76×1+12
76=12×6+4
12=4×3+0
linear combination is:
4=76-(12×6)
4=252-88×2-{(88-76)6}
4=252-{(592-252×2)2}-(88×6-76×6)
4=252-(592×2-252×4)-88×6+76×6
4=252-592×2+252×4-{(592-252×2)6+(252-88×2)6}
4=252-592×2+252×4-592×6-252×12+252+6-88×12
4=252-592×2+252×4-592×6-252×12+252×6-(592-252×2)2
4=..............same till them bracket open -592×12+252×24
4=252×32-592×20

Answer 2

592=252×2+88

252=88×2+76

88=76×1+12

76=12×6+4

12=4×3+0

linear combination is:

4=76-(12×6)

4=252-88×2-{(88-76)6}

4=252-{(592-252×2)2}-(88×6-76×6)

4=252-(592×2-252×4)-88×6+76×6

4=252-592×2+252×4-{(592-252×2)6+(252-88×2)6}

4=252-592×2+252×4-592×6-252×12+252+6-88×12

4=252-592×2+252×4-592×6-252×12+252×6-(592-252×2)2

4=..............same till them bracket open -592×12+252×24

4=252×32-592×20

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