3:

a: \(40=2^3\cdot5;24=2^3\cdot3\)

=>\(ƯCLN\left(40;24\right)=2^3=8\)

=>\(ƯC\left(40;24\right)=Ư\left(8\right)=\left\{1;-1;2;-2;4;-4;8;-8\right\}\)

b: \(12=2^2\cdot3;52=2^2\cdot13\)

=>\(ƯCLN\left(12;52\right)=2^2=4\)

=>\(ƯC\left(12;52\right)=\left\{1;-1;2;-2;4;-4\right\}\)

c: \(36=2^2\cdot3^2;990=2\cdot3^2\cdot5\cdot11\)

=>\(ƯCLN\left(36;990\right)=3^2\cdot2=18\)

=>\(ƯC\left(36;990\right)=\left\{1;-1;2;-2;3;-3;6;-6;9;-9;18;-18\right\}\)

2:

a: \(12=2^2\cdot3;18=3^2\cdot2\)

=>\(ƯCLN\left(12;18\right)=2\cdot3=6\)

b: \(12=2^2\cdot3;10=2\cdot5\)

=>\(ƯCLN\left(12;10\right)=2\)

c: \(24=2^3\cdot3;48=2^4\cdot3\)

=>\(ƯCLN\left(24;48\right)=2^3\cdot3=24\)

d: \(300=2^2\cdot3\cdot5^2;280=2^3\cdot5\cdot7\)

=>\(ƯCLN\left(300;280\right)=2^2\cdot5=20\)

a: UCLN(24;36)=12

BCNN(24;36)=216

b: BCNN(24;36;60)=360

UCLN(24;36;60)=12

a) 18 và 42 

\(18=2.3^2\)

\(42=2.3.7\)

\(\Rightarrow BCNN\left(18,42\right)=2.3^2.7=126\)

\(BC\left(18,42\right)=B\left(126\right)=\left(0,126,252,378,504,...\right)\)

Vậy ...

còn câu b ?

a:UCLN(12;18)=6

BCNN(12;18)=36

b: UCLN(24;36;60)=12

BCNN(24;36;60)=360

A/

12= 2².3

60=2².3.5

ƯCLN(12,60)=2².3.5=60

B/

24=2³.3

88=2³.11

ƯCLN(24,88)=2³.3.11=264

C/

96=2⁵.3

224= 2⁵.7

ƯCLN(96,224)=2⁵.3.7=672

D/

34=2.17

96=2⁵.3

ƯCLN(34,96)=2⁵.3.17=1632

Chúc bạn học tốt

Bài 1: 

a: UCLN(24;48)=24

b: UCLN(16;32;112)=16

giúp tôi nhé

\(A=-2x^2+6x-12\)

\(=-2\left(x^2-3x+\dfrac{9}{4}\right)-\dfrac{15}{2}\)

\(=-2\left(x-\dfrac{3}{2}\right)^2-\dfrac{15}{2}\le-\dfrac{15}{2}\)

\(maxA=-\dfrac{15}{2}\Leftrightarrow x=\dfrac{3}{2}\)

Ta có: \(A=-2x^2+6x-12\)

\(=-2\left(x^2-3x+6\right)\)

\(=-2\left(x^2-2\cdot x\cdot\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{15}{4}\right)\)

\(=-2\left(x-\dfrac{3}{2}\right)^2-\dfrac{15}{2}\le-\dfrac{15}{2}\forall x\)

Dấu '=' xảy ra khi \(x=\dfrac{3}{2}\)