12x - 33 = 3².3³

12x - 33 = 9.27

12x - 33 = 243

12x = 243 + 33

12x = 276

x = 276 : 12

x = 23

\(12x-33=3^2\cdot3^3\)

\(12x-33=3^{2+3}\)

\(12x-33=3^5\)

\(12x-33=243\)

\(12x=243+33\)

\(12x=276\)

\(x=\dfrac{276}{12}\)

\(x=23\)

a: \(3^2+10:2=9+5=14\)

b: \(13\cdot\left(23+17\right)-17\cdot\left(23+13\right)\)

\(=13\cdot23+13\cdot17-17\cdot23-17\cdot13\)

\(=13\cdot23-17\cdot23\)

\(=-4\cdot23=-92\)

c: \(-8+2\left(x-4\right)=2^3\cdot3^2\)

=>\(2\left(x-4\right)-8=8\cdot9=72\)

=>2(x-4)=72+8=80

=>x-4=40

=>x=44

bn ơi trên là 3² và 2³ hay 32 và 23?

d)12.x - 33= 3 2 . 3 3

12.x - 33 = 9.27

12.x - 33 = 243

12.x = 243 + 33

12.x = 276

x = 276:12

x = 23

12x – 33 = 32.33

    12x - 33 = 9.27

    12x - 33 = 243

    12x = 243 + 33

    12x = 276

    x = 276:12

    x = 23

Vậy x = 23

\(B=1\cdot2+2\cdot3+3\cdot4+\dots+31\cdot32+32\cdot33\\3B=1\cdot2\cdot3+2\cdot3\cdot3+3\cdot4\cdot3+\dots+31\cdot32\cdot3+32\cdot33\cdot3\\=1\cdot2\cdot3+2\cdot3\cdot(4-1)+3\cdot4\cdot(5-2)+\dots+31\cdot32\cdot(33-30)+32\cdot33\cdot(34-31)\\=1\cdot2\cdot3+2\cdot3\cdot4-1\cdot2\cdot3+3\cdot4\cdot5-2\cdot3\cdot4+\dots+31\cdot32\cdot33-30\cdot31\cdot32+32\cdot33\cdot34-31\cdot32\cdot33\\=32\cdot33\cdot34\\\Rightarrow B=\dfrac{32\cdot33\cdot34}{3}=32\cdot11\cdot34\)

Vì \(32\cdot11\cdot34⋮34\)

nên \(B\vdots34\).

Ta có : B = 1.2 +2.3 +...+31.32 + 32.33  
 3B = 1.2.3 + 2.3.3+...+ 31.32.3 + 32.33.3 
3B = 1.2.3 + 2.3.(4-1) +...+ 31.32.(33-30)+32.33.(34-31)
3B = 1.2.3 + 2.3.4 - 2.3.1 +...+ 31.32.33-30.31.32 + 32.33.34- 31.32.33
3B = 32.33.34                                                                                                                    B = 32.33.34 / 3 = 32.11.34 chia hết cho 34 
Vậy B chia hết cho 34 

\(x+23\cdot32=\frac{2784}{23}\cdot21=\frac{58464}{23}\)... \(x+23\cdot32=\frac{2784}{23}\cdot21=\frac{58464}{23}\)\(x+23=\frac{58464}{23}:32=\frac{1827}{23}...\)\(x=\frac{1827}{23}-23=\frac{1298}{23}\)

2.x – 138 = 23.32

2x – 138 = 8.9

2x – 138 = 72

2x = 72 + 138

2x = 210

x = 210 : 2

x = 105

Vậy x = 105

=23.(41+27+23)

= 23.91

= 2093