Ответ:
Решение:
(х+у)(х^2-у^2)=(х+у)(х+у)(х-у)=(х+у)^2(х-у)=
(х-у)(х+у)^2.
Объяснение:
log (√ab) ab² = log(√ab) ab*b = 2 (log(ab) ab + log (ab) b) = 2*(1 + 1/log(b) ab) = 2 * (1 + 1/(log(b) a + log(b) b) = 2*(1 + 1/(1/log(a) b + 1)
log(a) b = 3
2*(1 + 1/(1/3 + 1)) = 2*(1 + 3/4) = 2*7/4 = 7/2 = 3,5
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log(a) bc = log(a) b + log(a) c
log (a^k) b = 1/k * log(a) b
log(a) b = 1/log(b) a
<span> -7х+1>-1
1+1 > 7x
2/7 > x
x < 2/7</span>
4.1)16x³+8x²+x=0
x(16x²+8x+1)=0
a)x=0
b)16x²+8x+1=0, D=64-64=0, √0=0
x=(-8)/32, x=-0,25
16x²+8x+1=(4x+1)²=0, 4x+1=0, 4x=-1, x=-1/4=-0,25
4.2.)x³+2x²-36x-72=0
x²(x+2)-36(x+2)=0
(x+2)(x²-36)=0, (x+2)(x+6)(x-6)=0
x1=-2, x2=-6, x3=6
5.) 3ˇ9-4ˇ3=27ˇ3-4ˇ3=(27-4)(27ˇ2+27.4.+4ˇ2)=23.(729+108+16)=
=23.853
6)a³-b³=(a-b)(a²+ab+b²)
(a-b)²=a²-2ab+b², 2²=a²+b²-2.3, 4=a²+b²-6, a²+b²=10
a³-b³=2(10+3)=2.13=26