а) 25-9a^2 = (5-3a)*(5+3a)
б) 36m^2 - 100n^2 = (6m-10n)*(6m+10n)
в) a^4 - b^6 = (a^2 - b^3)*(a^2 + b^3)
г) (2x-3)^2 - (x+4)^2 = (2x-3 - (x+4))*(2x-3 + (x+4)) = (x-7)(3x+1)
а) (x+2)(x-2) - x(x-6) = 0
x^2 - 4 - x^2 + 6x = 0
6x - 4 = 0
x = 2/3
б) 25y^2 - 4 = 0
(5y-2)(5y+2) = 0
y = 0.4, -0.4
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Answers & Comments
а) 25-9a^2 = (5-3a)*(5+3a)
б) 36m^2 - 100n^2 = (6m-10n)*(6m+10n)
в) a^4 - b^6 = (a^2 - b^3)*(a^2 + b^3)
г) (2x-3)^2 - (x+4)^2 = (2x-3 - (x+4))*(2x-3 + (x+4)) = (x-7)(3x+1)
а) (x+2)(x-2) - x(x-6) = 0
x^2 - 4 - x^2 + 6x = 0
6x - 4 = 0
x = 2/3
б) 25y^2 - 4 = 0
(5y-2)(5y+2) = 0
y = 0.4, -0.4