Объяснение:
1)
a) 3x^2 - 12 = 3(x^2 - 4) = 3(x+2)(x-2)б) 2x^2*y-2y^3 = 2y(x^2-y^2) = 2y(x+y)(x-y)
2)
3a^2 - 6ab + 3b^2 = 3(a^2 - 2ab + b^2) = 3(a-b)^2
3)
m^2 - 25 + m + 5 = (x+5)(x-4)
4)
4x^2 - 9 = 0(2x+3)(2x-3) = 0
1) 2x +3 = 0
x = -1,5
2x - 3 = 0
5)
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Answers & Comments
Объяснение:
1)
a) 3x^2 - 12 = 3(x^2 - 4) = 3(x+2)(x-2)
б) 2x^2*y-2y^3 = 2y(x^2-y^2) = 2y(x+y)(x-y)
2)
3a^2 - 6ab + 3b^2 = 3(a^2 - 2ab + b^2) = 3(a-b)^2
3)
m^2 - 25 + m + 5 = (x+5)(x-4)
4)
4x^2 - 9 = 0
(2x+3)(2x-3) = 0
1) 2x +3 = 0
x = -1,5
2)
2x - 3 = 0
x = -1,5
5)