1)3a-3b-a²+b²=3(a-b)-(a²-b²)=3(a-b)-(a+b)(a-b)=
=(a-b)(3-a-b)
2)2c²+20cd+50d²=2(c²+10cd+25d²)=2(c+5d)²
3)144-(a+9)²=12²-(a+9)²=(12+a+9)(12-a-9)=(a+21)(3-a)
Решение
<span>Ctgt*sin(-t)+sin(2pi+t) = (cost/sint)* (- sint) + sint = - cost + sint =
= </span>√2sin(45° - t)
V(A)=1м/с,t(A)=t+10с,S(A)=t+10м
v(B)=5м/с,t(B)=tс,S(B)=5tм
133=(t+10)²+25t²-2(t+10)*5tcos60=t²+20t+100+25t²-5t²-50t
21t²-30t-33=0
7t²-10t-11=0
D=100+308=408
t1=(10-2√102)/14<0 не удов усл
t2=(10+2√102)/14=(5+√102)/7-t(В)⇒S(B)=(25+5√102)/7
t(A)=(75+√102)/7⇒S(A)=(75+√102)/7
S=(25+5√102)/7+(75+√102)/7=(100+6√102)/7
1. 6ab⁵ = -7
1) 3*6ab⁵ = 18ab⁵ = 3*(-7) = -21
2) (6ab⁵)² = 36a²b¹⁰ = (-7)² = 49; 36a²b¹⁰:6 = 6a²b¹⁰ = 49÷6 =
2.