1)4a-4a^3+a^2=4a(1-a^2+a)
2)3r^3+3r^2-3r=3r(r^2+r-1)
Log₂(x+y)+2*log₄(x-y)=5 ОДЗ: x>y x>-y
3^(1+2*log₃(x-y)=48
log₂(x+y)+2*log₂²(x-y)=5
3*3^log₃(x-y)²=48
log₂(x+y)+2*(1/2)*log₂(x-y)=5
3*(x-y)²=48 |÷3
log₂(x+y)+log₂(x-y)=5
(x-y)²=16
1)
log₂((x+y)*(x-y))=5*log₂2
x-y=4
log₂(x²-y²)=log₂2⁵
y=x-4
x²-y²=32
y=x-4
x²-(x-4)²=32
x²-x²+8x-16=32
8x=48 |÷8
x=6 ⇒
y=6-4=2
2)
x²-y²=32
x-y=-4
x²-y²=32
y=x+4
x²-(x+4)²=32
x²-x²-8x-16=32
-8x=48 |÷(-8)
x=-6 ⇒
y=-2 ∉ ОДЗ
<span>Ответ: x=6 y=2.</span>
2^2=4
2^3=8
2^4=16
2^5=32
2^6=64
10^2=100
10^3=1000
10^4=10000
10^6=1000000