А) (2у² - 3)(у² + 2) = 2у^4 +4y² - 3y² -6 = 2y^4 + y² - 6;
б) (a² - b²)(a - b) = a³ - a²b - ab² + b³;
в) (m² + 3n)(m² - n) = m^4 - m²n +3m²n - 3n² = m^4 + 2m²n - 3n².
Х^3+8-х(х^2-9)=х
x^3+8-x^3+9x=x
8-9x=x
9x-x=-8
8x=-8
x=8:(-8)
x=-1
A) (cosa + sina)^2 - 2 sina*cos a = (cos^2 a + 2 sina*cos a + sin^2) - 2 sin 1.
a*cosa= =cos^2 + sin^2 a = 1.
б)(sina - cos a)^2 + 2 sina*cos a=sin^2 a - 2 sina*cosa + cos^2 a + 2 sina* cosa=
= sin^2 + cos^2 a = 1.
2.
a) sin2x*cos2x= 1/2 * sin 4x; *2;
2 sin2x* cos2x= sin4x.
sin(2*2x) = sin 4x;
sin 4x= sin 4x.
б)sin x/2 * cos x/2 = 1/2 * sinx; *2;
2 sin x/2 * cos x/2 = sin x;
sin( 2* x/2) = sin x;
sin x = sin x
1)f'(x)=3x^2
f'(x)=2ax+1
f'(x)=3x^2+2
2) V=S'(t)=6t^2-6t
V=S'(t)=3t^2+4t
А) p(a+b) = pa+pb
б) -y(k+c) = -yk-yc
в) a(k+c-3) = ak+ac-3a
г) -x(a-b+1) = -xa+xb-x
д) 5a^2(2-a) = 10a^2-5a^3
е) -7x^3(x^5+3x) = -7x^8-21x^4
ж) -8b^3(b-2b^2) = -8b^4+16b^5)
з) (y^15+y^20)12y^23 = 12y^38+12y^43
и) 2m^4(m^5-m^3-1) = 2m^9-2m^7-2m^4
к) 2x(3x^2+5xy-y^2) = 6x^3+10x^2y-2xy^2
л) -3c(c^3+c-4) = -3c^4-3c^2+12c
м) b^5(b^6-5b^3+b-3) = b^11-5b^8+b^6-3b^5
н) (8a^2-4a+16)0.25a = 2a^3-a^2+4a
о) -9p(2p^4+p^2-2p+1) = -18p^5-9p^3+18p^2-9p
