1)(x²-3)²(a-2)(a²+4)(a+2)=(x²-3)(a²-4)(a²+4)=(x²-3)(a^4-16)
2)(b²-3)³-(b²+3)(b^4-3b²+9)=b^6-9b^4+27b^2-27-b^6-27=-9b^4+27b²-54=
=-9(b^4-3b²+6)
3)(m²-1)(m^4+m²+1)-(m²-1)³=m^6-1-m^6+3m^4-3m²+1=3m^4-3m²=
=3m²(m²-1)
4)(x²-2)(x^4+2x²+4)-(x³-1)²=x^6-8-x^6+2x³-1=2x³-9
<span>y(x)=3x^3-9 [0;3]
</span>y'(x)=9x² x=0 → y'(x)=0
y(0)=-9 y(3)=3*27-9>0
ymin=-9
1
4^2x-16*2^x+15=0
2^2x=a
a²-16a+15=0
a1+a2=16 U a1*a2=15
a1=1⇒2^2x=1⇒2x=0⇒x=0
a2=15⇒2^2x=15⇒x=log(4)15
2
log(2)x=log(0,5)5+log(2)15
log(20x=-log(2)5+log(2)15
log(2)x=log(2)(15/5)
x=3
2sin^2(45-2a)+sin4a=1-cos(90-4a)+sin4a=1-sin4a+sin4a=1
=c0s^2 a+((cos(60+a)+cos(60-a))^2-2cos(60+a) *cos(60-a)=cos^2 a+
+(cos60 *cosa-sin60*sina +cos60 *cosa-sin60*sina)^2 -2cos(60+a)*cos(60-a)=
=cos^2 a+(2cos60 cosa)^2 -2*(cos(60+a+60-a) +cos(60+a-60+a)) /2=
=cos^2 a +cos^2 a -cos120-cos2a=2cos^2 a+(-cos60)-cos2a=
=2cos^2 a-(-1/2)-(cos^2 a -sin^2 a)=2cos^2 a +1/2-cos^2 a+sin^2 a=
=cos^2 a+sin^2 a +1/2=1+1/2=1,5
Что не так , пиши, посмотрю!