Ta có : A = 1.2 + 2.3 + 3.4 + ...... + 100.101

=> 3A = 1.2.3 - 1.2.3 + 2.3.4 - 2.3.4 + ...... + 100.101.102

=> 3A = 100.101.102

=> A = 100.101.102/3

=> A = 343400

Thiên Hương đẹp quá đi mất?

 Cho hoi dap de hoi chi khong duoc noi lung tung day la pham loi trong hoi dap

giúp mình vớiiii

a) 2 x 2 = 4              3 x 3 = 9

2 x 4 = 8              3 x 5 = 15

2 x 6 = 12              3 x 7 = 21

2 x 8 = 16              3 x 9 = 27

4 x 4 = 16              5 x 5 = 25

4 x 2 = 8              5 x 7 = 35

4 x 6 = 24              5 x 9 = 45

4 x 8 = 32              5 x 3 = 15

b) 200 x 4 = 800              300 x 2 = 600

200 x 2 = 400             300 x 3 = 900

400 x 2 = 800             500 x 1 = 500

100 x 4 = 400             100 x 3 = 300

Trả lời 1 câu thôi nhé em 100 nhân 4 bằng 400 nhá em

Sửa đề: \(A=2+2^2+2^3+\cdots+2^{10}+1+5+5^2+\cdots+5^{14}\)

a: Đặt \(B=2+2^2+2^3+\cdots+2^{10}\)

\(=\left(2+2^2+2^3+2^4+2^5\right)+\left(2^6+2^7+2^8+2^9+2^{10}\right)\)

\(=2\left(1+2+2^2+2^3+2^4\right)+2^6\left(1+2+2^2+2^3+2^4\right)\)

\(=31\cdot\left(2+2^6\right)\) ⋮31

Đặt \(C=1+5+5^2+\cdots+5^{14}\)

\(=\left(1+5+5^2\right)+\left(5^3+5^4+5^5\right)+\cdots+\left(5^{12}+5^{13}+5^{14}\right)\)

\(=\left(1+5+5^2\right)+5^3\left(1+5+5^2\right)+\cdots+5^{12}\left(1+5+5^2\right)\)

\(=31\left(1+5^3+\cdots+5^{12}\right)\) ⋮31

Ta có: \(A=2+2^2+2^3+\cdots+2^{10}+1+5+5^2+\cdots+5^{14}\)

=B+C

mà B⋮31 và C⋮31

nên A⋮31

b: Ta có: \(B=2+2^2+2^3+\cdots+2^{10}\)

\(=\left(2+2^2\right)+\left(2^3+2^4\right)+\cdots+\left(2^9+2^{10}\right)\)

\(=\left(2+2^2\right)+2^2\left(2+2^2\right)+\cdots+2^8\left(2+2^2\right)\)

\(=6\left(1+2^2+\cdots+2^8\right)\) ⋮6

Ta có: \(C=1+5+5^2+\cdots+5^{14}\)

\(=1+\left(5+5^2\right)+\left(5^3+5^4\right)+\cdots+\left(5^{13}+5^{14}\right)\)

\(=1+5\left(1+5\right)+5^3\left(1+5\right)+\cdots+5^{13}\left(1+5\right)\)

\(=1+6\left(5+5^3+\cdots+5^{13}\right)\)

=>C chia 6 dư 1

Ta có: A=B+C

\(=6\left(1+2^2+\cdots+2^8\right)+1+6\left(5+5^3+\cdots+5^{13}\right)\)

=>A chia 6 dư 1

\(\begin{array}{l}A + B = (6{x^4} - 4{x^3} + x - \dfrac{1}{3}) + ( - 3{x^4} - 2{x^3} - 5{x^2} + x + \dfrac{2}{3})\\ = 6{x^4} - 4{x^3} + x - \dfrac{1}{3} - 3{x^4} - 2{x^3} - 5{x^2} + x + \dfrac{2}{3}\\ = (6{x^4} - 3{x^4}) + ( - 4{x^3} - 2{x^3}) - 5{x^2} + (x + x) + ( - \dfrac{1}{3} + \dfrac{2}{3})\\ = 3{x^4} - 6{x^3} - 5{x^2} + 2x + \dfrac{1}{3}\\A - B = (6{x^4} - 4{x^3} + x - \dfrac{1}{3}) - ( - 3{x^4} - 2{x^3} - 5{x^2} + x + \dfrac{2}{3})\\ = 6{x^4} - 4{x^3} + x - \dfrac{1}{3} + 3{x^4} + 2{x^3} + 5{x^2} - x - \dfrac{2}{3}\\ = (6{x^4} + 3{x^4}) + ( - 4{x^3} + 2{x^3}) + 5{x^2} + (x - x) + ( - \dfrac{1}{3} - \dfrac{2}{3})\\ = 9{x^4} - 2{x^3} + 5{x^2} - 1\end{array}\)\(\begin{array}{l}A + B = (6{x^4} - 4{x^3} + x - \dfrac{1}{3}) + ( - 3{x^4} - 2{x^3} - 5{x^2} + x + \dfrac{2}{3})\\ = 6{x^4} - 4{x^3} + x - \dfrac{1}{3} - 3{x^4} - 2{x^3} - 5{x^2} + x + \dfrac{2}{3}\\ = (6{x^4} - 3{x^4}) + ( - 4{x^3} - 2{x^3}) - 5{x^2} + (x + x) + ( - \dfrac{1}{3} + \dfrac{2}{3})\\ = 3{x^4} - 6{x^3} - 5{x^2} + 2x + \dfrac{1}{3}\\A - B = (6{x^4} - 4{x^3} + x - \dfrac{1}{3}) - ( - 3{x^4} - 2{x^3} - 5{x^2} + x + \dfrac{2}{3})\\ = 6{x^4} - 4{x^3} + x - \dfrac{1}{3} + 3{x^4} + 2{x^3} + 5{x^2} - x - \dfrac{2}{3}\\ = (6{x^4} + 3{x^4}) + ( - 4{x^3} + 2{x^3}) + 5{x^2} + (x - x) + ( - \dfrac{1}{3} - \dfrac{2}{3})\\ = 9{x^4} - 2{x^3} + 5{x^2} - 1\end{array}\)

a: =>x-2/5=3/4:1/3=3/4*3=9/4

=>x=9/4+2/5=45/20+8/20=53/20

b: =>x-2/3=7/3:4/5=7/3*5/4=35/12

=>x=35/12+2/3=43/12

c: 1/3(x-2/5)=4/5

=>x-2/5=4/5*3=12/5

=>x=12/5+2/5=14/5

d: =>2/3x-1/3-1/4x+1/10=7/3

=>5/12x-7/30=7/3

=>5/12x=7/3+7/30=77/30

=>x=77/30:5/12=154/25

e: \(\Leftrightarrow x\cdot\dfrac{3}{7}-\dfrac{2}{7}+\dfrac{1}{2}-\dfrac{5}{4}x+\dfrac{5}{2}=0\)

=>\(x\cdot\dfrac{-23}{28}=\dfrac{2}{7}-3=\dfrac{-19}{7}\)

=>x=19/7:23/28=76/23

f: =>1/2x-3/2+1/3x-4/3+1/4x-5/4=1/5

=>13/12x=1/5+3/2+4/3+5/4=257/60

=>x=257/65

i: =>x^2-2/5x-x^2-2x+11/4=4/3

=>-12/5x=4/3-11/4=-17/12

=>x=17/12:12/5=85/144

\(\begin{array}{l}A + B + C\\ = (3{x^4} - 2{x^3} - x + 1) + ( - 2{x^3} + 4{x^2} + 5x) + ( - 3{x^4} + 2{x^2} + 5)\\ = 3{x^4} - 2{x^3} - x + 1 - 2{x^3} + 4{x^2} + 5x - 3{x^4} + 2{x^2} + 5\\ = (3{x^4} - 3{x^4}) + ( - 2{x^3} - 2{x^3}) + (4{x^2} + 2{x^2}) + ( - x + 5x) + (1 + 5)\\ = 0 + ( - 4{x^3}) + 6{x^2} + 4x + 6\\ =  - 4{x^3} + 6{x^2} + 4x + 6\\A - B + C\\ = (3{x^4} - 2{x^3} - x + 1) - ( - 2{x^3} + 4{x^2} + 5x) + ( - 3{x^4} + 2{x^2} + 5)\\ = 3{x^4} - 2{x^3} - x + 1 + 2{x^3} - 4{x^2} - 5x - 3{x^4} + 2{x^2} + 5\\ = (3{x^4} - 3{x^4}) + ( - 2{x^3} + 2{x^3}) + ( - 4{x^2} + 2{x^2}) + ( - x - 5x) + (1 + 5)\\ = 0 + 0 + ( - 2{x^2}) - 6x + 6\\ =  - 2{x^2} - 6x + 6\\A - B - C\\ = (3{x^4} - 2{x^3} - x + 1) - ( - 2{x^3} + 4{x^2} + 5x) - ( - 3{x^4} + 2{x^2} + 5)\\ = 3{x^4} - 2{x^3} - x + 1 + 2{x^3} - 4{x^2} - 5x + 3{x^4} - 2{x^2} - 5\\ = (3{x^4} + 3{x^4}) + ( - 2{x^3} + 2{x^3}) + ( - 4{x^2} - 2{x^2}) + ( - x - 5x) + (1 - 5)\\ = 6{x^4} + 0 + ( - 6{x^2}) - 6x + ( - 4)\\ = 6{x^4} - 6{x^2} - 6x - 4\end{array}\)

B(3)=2*3^2-4*3+3=18-12+3=9

B(-1/2)=2*1/4-4*(-1/2)+3=1/2+3+2=1/2+5=11/2