F ' (x) = cos (x + pi/4) * (x + pi/4)' = cos (x + pi/4)
4а^3б-10а^2б^2+2аб^3=
=2аб(2а^2-5аб+б^2)
18х^3у+21х^2у^2-3ху^3=
=3ху(6х^2+7ху-у^2)
8х^5у^2-12х^4у^2+12х^3у^2-4х^2у^2=4х^2у^2(2х^3-3х^2+3х-1)
1)log2(x)<4 озд:x>0
x<16
x∈(0;16)
2)log1/3(x)≥3 одз:x>0
x≤1/27
x∈(0;1/27]
3)log1/3(x-1)≤-1 одз:x>1
x-1≥3
x≥4
x∈[4:+∞)
<span>2<span>a^3</span>+<span>a^2</span>−1−3<span>a^2</span>+<span>a^3</span>−a=</span><span>3<span>a^3</span>−2<span>a^2</span>−1−a=</span><span><span>3<span>a^3</span>−2<span>a^2</span>−a−1</span></span>
(х²-25)²+(х²+3х-10)²=0
(x-5)²·(x+5)²+(x-2)²(x+5)²=0
(x+5)²·((x-5)²+(x-2)²0=0
(x+5)²·(x²-10x+25+x²-4x+4)=0
(x+5)²·(2x²-14x+29)=0
x+5=0 или 2x²-14x+29=0
x=-5 D=196-4·2·29<0
нет корней
Ответ. х=-5