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GryIIIa
@GryIIIa
July 2022
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veronika472
M + (2x^2 + x) = 3x^2 - x + 1
M = 3x^2 - x + 1 - (2x^2 + x)
M = 3x^2 - x + 1 - 2x^2 - x = x^2 - 2x + 1 =
(x - 1)^2
(3a^4 - a) + M = 5a^4 - 6a
M = 5a^4 - 6a -
(3a^4 - a) = 5a^4 - 6a - 3a^4 + a = 2a^4 - 5a =
a(2a^3 - 5)
M - (x^3 + x^2) = 3x^2 + 1
M =
3x^2 + 1 + (x^3 + x^2) = 3x^2 + 1 + x^3 + x^2 =
x^3 + 4x^2 + 1
M - (3a^4 - a) = 5a^4 + 6a + 1
M =
5a^4 + 6a + 1 + (3a^4 - a) = 5a^4 + 6a + 1 + 3a^4 - a =
8a^4 + 5a + 1
(a^6 + a) - M = 2a^6 - a + 9
M = (a^6 + a) - (2a^6 - a + 9) = a^6 + a - 2a^6 + a - 9 =
-a^6 + 2a - 9
2x^4 - 3x^3 - M = x^4 + x^3
M = 2x^4 - 3x^3 - (
x^4 + x^3 ) = 2x^4 - 3x^3 - x^4 - x^3 =
x^4 - 4x^3
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Answers & Comments
M = 3x^2 - x + 1 - (2x^2 + x)
M = 3x^2 - x + 1 - 2x^2 - x = x^2 - 2x + 1 = (x - 1)^2
(3a^4 - a) + M = 5a^4 - 6a
M = 5a^4 - 6a - (3a^4 - a) = 5a^4 - 6a - 3a^4 + a = 2a^4 - 5a = a(2a^3 - 5)
M - (x^3 + x^2) = 3x^2 + 1
M = 3x^2 + 1 + (x^3 + x^2) = 3x^2 + 1 + x^3 + x^2 = x^3 + 4x^2 + 1
M - (3a^4 - a) = 5a^4 + 6a + 1
M = 5a^4 + 6a + 1 + (3a^4 - a) = 5a^4 + 6a + 1 + 3a^4 - a = 8a^4 + 5a + 1
(a^6 + a) - M = 2a^6 - a + 9
M = (a^6 + a) - (2a^6 - a + 9) = a^6 + a - 2a^6 + a - 9 = -a^6 + 2a - 9
2x^4 - 3x^3 - M = x^4 + x^3
M = 2x^4 - 3x^3 - ( x^4 + x^3 ) = 2x^4 - 3x^3 - x^4 - x^3 = x^4 - 4x^3