Ответ:
Объяснение:
1)
a) 3a²/b:b/b³=3a²/b*b³/b=3a²b³/b²=3a²b
b) -2x²/y :6x³/b²= -2x²/y*b²/6x³=-b²/3xy
B)9m/14n: 4m²/21n²=9m/14n*21n/4m²=(9*3n)/(2*4m)=27n/8m=3,375n/m
G) 12x²:6x/c=12x²*c/6x=2cx
2.
a) (x+y²)/(a-3b) : (x²-y²)/(2a-6b)=(x+y²)/(a-3b) * 2(a-3b)/(x²-y²)=2(x+y²)/(x²-y²)
b) (y-8)/(x²-4) : (2y-16)/(3x-6)=(y-8)/(x²-4)*(3x-6)/2(y-8)=3(x-2)/2(x-2)(x+2)= =3/2(x+2)
B) (c²-9)/(c²+6c+9) : (3-c)/(c+3)=(c²-9/(c+3)²* (c+3)/(3-c)= =(c-3)(c+3)/(c+3) *(-1/(c-3)=-1
(3b^8c^7)³ * (8b³c³)^0 / (27b³c³)²=
=(3³b^24c^21 *1 ) / ( 3^6b^6C^6) =
=(1/27) * b^18c^15
S[n]=(2a[1]+(n-1)d)/2*n
S[6]=(2a[1]+(6-1)d):2*6=6a[1]+15d
S[12]=(2a[1]+(12-1)d):2*12=12a[1]+66d
откуда S[12]-2S[6]=12a[1]+66d-12a[1]-30d=36d
p-2m=36d
d=(p-2m)/36=p/36-m/18
a[1]=(S[6]-15d)/6=(m-15*(p/36-m/18))/6=
=m/6-5p/72+5m/36=11m/36-5p/72
S[15]=(2a[1]+(15-1)d)/2*15=(a[1]+7d)*15=15a[1]+105d
S[15]=15*(11m/36-5p/72)+105*(p/36-m/18)=
=5*(11m/12-5p/24)+35*(p/12-m/6)=55m/12-70m/12+70p/24-25p/24=
=45p/24-15m/12=15p/8-5m/4
ответ:15p/8-5m/4
A) b(b + 1) - 3(b + 1) = (b + 1)(b - 3)
b) ca - cb + 2a - 2b = c (a - b) + 2(a - b) = (a - b)(c + 2)
Log₅ (2x² - 3x - 1) > 0
5 > 0
2x² - 3x - 1 > 5⁰
2x² - 3x - 1 - 1 > 0
2x² - 3x - 2 > 0
D = 9 + 4*2*2 = 25
x₁ = (3 - 5)/4
x₁ = - 1/2
x₂ = (3 + 5)/4
x₂ = 2
+ - +
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- 1/2 2 x
x∈(- ≈; - 1/2) (2;+ ≈)