1.
а)(х+4)^2 = х^2+2х+4+4^2 = х^2+8х+16.
б)(y^2-5x)^2 = y^2 - 2y*5x+(5x)^2 = y^2-10xy+25x^2.
в)(3a-2)*(3a+2) = (3a)^2 - 2^2 = 9a^2-4.
г)(c-2b)*(c+2b) = c^2 - (2b)^2 = c^2-4b^2.
2.
а)x^2-81 = (x-9)*(x+9).
в)36x^4y^2-169c^2=(6x^2y-13c)*(6x^2y+13c)
3.
(с+6)^2-c(c+12) = c^2+12c+36-c^2-12c = 12c+36-12c = 36.
4.
a)(x+7)^2-(x-4)*(x+4) = 65
x^2+14x+49-(x^2-16) = 65
x^2+14x+49-x^2+16 = 65
14x+49+16 = 65
14x+65 = 65
14x = 0
x = 0
б)49y^2-64=0
49y^2=64
y^2=64\49
y=8\7
5.
а)(4a^2+b^2)*(2a-b)*(2a+b)=(4a^2+b^2)(4a^2-b^2)=16a^4-b^4