Смотри график во вложении
<u>3m+2m</u> <u> </u> <u>m</u><u> </u> = <u>3m+2m</u> <u> </u> <u> </u><u>m </u> = <u>3m^2 + 2m - m(m+2)</u> = <u>3m^2-2m-m^2-2m</u><u>
</u>m^2-4 m-2 (m-2)(m+2) m-2 (m-2)(m+2) (m-2)(m+2)
<u>
</u>= <u>2m^2-4m </u> = <u>2m(m-2) </u> = <u>2m </u><u>
</u> (m-2)(m-2) (m-2)(m+2) m+2<u>
</u>
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>
А^12=a^6*a^6
a^12=a^4*a^8
a^12=a^3*a^9
a^12=a^5*a^7
a^12=a*a^11 ^- степень