9^x-8^3^x*2^x+15*4^x≤0/4^x
(3/2)^2x-8*(3/2)^x+15≤0
(3/2)^x=a
a²-8a+15≤0
a1+a2=8 U a1*a2=15
a1=3 U a2=5
3≤a≤5
3≤(3/2)^x≤5
x∈[log(3/2)3;log(3/2)5]
A)-2(x-5)+3(x-4)=4x+1
-2x+10+3x-12=4x+1
-2x+3x-4x=1+12-10
-3x=3
x=-3/3
х=-1
б)4(x+3)=5(x-2)
4x+12=5x-10
4x-5x=-10+12
-x=2
x=-2
(х-3)(3-х)=-(x-3)(x-3)=-(x-3)²=-(x²-6x+9)=-x²+6x-9
(2а²- в)(в-2а²)=-(b-2a²)(b-2a²)=-(b-2a²)²=-(b²-4a²b+4a⁴)=-b²+4a²b-4a⁴
(3х+2у)(-3х-2у)=-(3x+2y)(3x+2y)=-(3x+2y)²=-(9x²+12xy+y²)=-9x²-12xy-y²
(-с²-2d)(с²+2d)=-(c²+2d)(c²+2d)=-(c²+2d)=-(c⁴+4c²d+4d²)=-c⁴-4c²d-4d²
(a+b)(a-2b)²-(a-b)³-2b³=(a+b)(a²-4ab-4b²)-(a³-3a²b+3ab²+b³)-2b³=a³-4a²b-4ab²+a²b-4ab²-4b³-a³+3a²b-3ab²-b³-2b³=-11ab²-7b³=-b²(11a-7b)