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rinanen
@rinanen
August 2022
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murkins
Решение 137 на фото, вот 138
(х - 5)^2 - 25 = х^2 - 10х + 25 - 25 = х^2 - 10х
6у + (у - 3)^2 = 6у + y^2 - 6y + 9 = y^2 + 9
(2a - 5b)^2 - (2a + 5b)^ 2 = (2a - 5b - 2a - 5b) (2a - 5b + 2 a + 5b) = -10b * 4a = -40ab
(4m + 3n)^2 + (2m - 6n)^2 = 16m^2 + 24mn + 9n^2 + 4m^2 - 24mn + 36n^2 = 20m^2 + 45n^2
х(х - 2) - (х - 3)^2 = x^2 - 2x - x^2 + 6x - 9 = 4x - 9
(8p - q)^2 - (4p - q)(16p + 3q) = 64p^2 - 16pq - q^2 - 64p^2 + 16pq - 12pq + 3q^2 = 2q^2 - 12pq
y(3y - 2)^2 - 9y(4 + y)^2 = y(9y^2 - 12y + 4) - 9y( 16 + 8y + y^2) = 9y^3 - 12y^2 + 4y - 144y - 72y^2 - 9y^3 = -140y - 84y^2
0,3(3mn -2)^2 + 0,8(2mn +1) = 0,3( 9m^2n^2 - 12mn + 4) + 1,6mn + 0,8 = 2,7m^2n^2 -3,6mn + 1,2 + 1,6mn + 0,8 = 2,7m^2n^2 - 2mn + 2
^ - это знак степени, просто на бумажке не поместилось все)
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Answers & Comments
(х - 5)^2 - 25 = х^2 - 10х + 25 - 25 = х^2 - 10х
6у + (у - 3)^2 = 6у + y^2 - 6y + 9 = y^2 + 9
(2a - 5b)^2 - (2a + 5b)^ 2 = (2a - 5b - 2a - 5b) (2a - 5b + 2 a + 5b) = -10b * 4a = -40ab
(4m + 3n)^2 + (2m - 6n)^2 = 16m^2 + 24mn + 9n^2 + 4m^2 - 24mn + 36n^2 = 20m^2 + 45n^2
х(х - 2) - (х - 3)^2 = x^2 - 2x - x^2 + 6x - 9 = 4x - 9
(8p - q)^2 - (4p - q)(16p + 3q) = 64p^2 - 16pq - q^2 - 64p^2 + 16pq - 12pq + 3q^2 = 2q^2 - 12pq
y(3y - 2)^2 - 9y(4 + y)^2 = y(9y^2 - 12y + 4) - 9y( 16 + 8y + y^2) = 9y^3 - 12y^2 + 4y - 144y - 72y^2 - 9y^3 = -140y - 84y^2
0,3(3mn -2)^2 + 0,8(2mn +1) = 0,3( 9m^2n^2 - 12mn + 4) + 1,6mn + 0,8 = 2,7m^2n^2 -3,6mn + 1,2 + 1,6mn + 0,8 = 2,7m^2n^2 - 2mn + 2
^ - это знак степени, просто на бумажке не поместилось все)