1). (5-p)^2=25-10*p+p^2; 2).(4+k)^2=16+8*k+k^2.
S=6a²
S=6(5x-2)²=S=6(25x²-10x+4)
S=150x²-60x+24
V=a³
V=(5x-2)³
V=125x³-150x²+60x-8
G(x)=V(x-5) V - знак квадратного корня
ОДЗ:
x-5>=0
x>=-5
D(y)= [-5; + беск.)
g(11)= V(11-5)=V6
Решение
№ 104.
(tg³x - tg³y) / [(1 + tgxtgy)(tg²x + tgxtgy + tg²y)] =
= [(tgx - tgy)*(tg²x + tgxtgy + tg²y)] / [(1 + tgxtgy)(tg²x + tgxtgy + tg²y)] =
= (tgx - tgy) / (1 + tgxtgy) = tg(x - y)
№105.
(cos⁴2a - sin⁴2a) / (cos4a) - (cos2a - sin2a)² =
= [(cos²2a - sin²2a) * (cos²2a + sin²2a)] / (cos4a) - (cos²2a - 2sin2acos2a + sin²2a) = (cos²2a - sin²2a) / cos4a - 1 + 2sin2acos2a =
= cos4a / cos4a -1 + sin4a = 1 - 1 + sin4a = sin4a
№ 106.
[ 1/(1 - tgx) - 1/(1 + tgx)] * (cos²x - sin²x) =
= (1 + tgx - 1 + tgx)*cos2x / (1 - tg²x) =
= [2tgx*(1 - tg²x)] (1 - tg²x)(1 + tg²x)] = 2tgx / (1 + tg²x) = sin2x
D=33-37=-4
A₂₀=A₁+19d=37+19*(-4)=37-76=-39
S₂₀=<u>(A₁+A₂₀)*20</u> = (37-39)*10=-2*10=-20
2
Ответ: -20