\(a,\dfrac{3}{2}\times\dfrac{4}{5}\times\dfrac{2}{3}\times\dfrac{15}{4}\\ =\dfrac{3\times4\times2\times15}{2\times5\times3\times4}\\ =\dfrac{3\times4\times2\times5\times3}{2\times5\times3\times4}\\ =3\)

\(b,\dfrac{6}{7}\times\dfrac{5}{8}\times\dfrac{7}{3}\times\dfrac{7}{6}\times\dfrac{8}{5}\\ =\dfrac{6\times5\times7\times7\times8}{7\times8\times3\times6\times5}\\ =\dfrac{7}{3}\)

a) \(\dfrac{3}{2}\times\dfrac{4}{5}\times\dfrac{2}{3}\times\dfrac{15}{4}\)

\(=\left(\dfrac{3}{2}\times\dfrac{2}{3}\right)\times\left(\dfrac{4}{5}\times\dfrac{15}{4}\right)\)

\(=1\times3\)

\(=3\)

b) \(\dfrac{6}{7}\times\dfrac{5}{8}\times\dfrac{7}{3}\times\dfrac{7}{6}\times\dfrac{8}{5}\)

\(=\left(\dfrac{6}{7}\times\dfrac{7}{6}\right)\times\left(\dfrac{5}{8}\times\dfrac{8}{5}\right)\times\dfrac{7}{3}\)

\(=1\times1\times\dfrac{7}{3}\)

\(=\dfrac{7}{3}\)

Chúc bạn học tốt

Bài 5

a) A = -x³ + 6x² - 12x + 8

= -x³ + 3.(-x)².2 - 3.x.2² + 2³

= (-x + 2)³

= (2 - x)³

Thay x = -28 vào A ta được:

A = [2 - (-28)]³

= 30³

= 27000

b) B = 8x³ + 12x² + 6x + 1

= (2x)³ + 3.(2x)².1 + 3.2x.1² + 1³

= (2x + 1)³

Thay x = 1/2 vào B ta được:

B = (2.1/2 + 1)³

= 2³

= 8

Bài 6

a) 11³ - 1 = 11³ - 1³

= (11 - 1)(11² + 11.1 + 1²)

= 10.(121 + 11 + 1)

= 10.133

= 1330

b) Đặt B =  x³ - y³ = (x - y)(x² + xy + y²)

= (x - y)(x² - 2xy + y² + 3xy)

= (x - y)[(x - y)² + 3xy]

Thay x - y = 6 và xy = 9 vào B ta được:

B = 6.(6² + 3.9)

= 6.(36 + 27)

= 6.63

= 378

Bài 6 :

a) \(11^3-1=\left(11-1\right)\left(11^2+11+1^2\right)\)

\(\)\(=10.\left(121+12\right)\)

\(=10.133\)

\(=1330\)

b) \(\left\{{}\begin{matrix}x-y=6\\xy=9\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x^2+y^2-2xy=36\\xy=9\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x^2+y^2-2.18=36\\xy=9\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x^2+y^2=72\\xy=9\end{matrix}\right.\)

Ta có :

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

\(=6.\left(72+9\right)\)

\(=6.81\)

\(=486\)

z là gì vậy bn

A ) \(=\dfrac{2\times9\times11\times2\times19\times2}{11\times19\times9}=\dfrac{8}{1}=8\)

b)\(=\dfrac{2}{5}\times\left(\dfrac{4}{7}+\dfrac{9}{7}+\dfrac{8}{7}\right)=\dfrac{2}{5}\times\dfrac{21}{7}=\dfrac{2}{5}\times3=\dfrac{6}{5}\)

(1,1 + 1,2 x 1,3 + 1,4 x 1,5 + 1,6 x 1,7 + 1,8 x 1,9) x (1,25 - 0,25 x 5)

= (1,1 + 1,2 x 1,3 + 1,4 x 1,5 + 1,6 x 1,7 + 1,8 x 1,9) x (1,25 - 1,25)

= (1,1 + 1,2 x 1,3 + 1,4 x 1,5 + 1,6 x 1,7 + 1,8 x 1,9) x 0

= 0

ta thấy

0.25*5=1.25

vì 1.25-1.25=0

nên kết quả phép tính là 0

\(\left(1,1+1,2\times1,3+1,4\times1,5+1,6\times1,7+1,8\times1,9\right)\times\left(1,25-0,25\times5\right)\)

\(=\left(1,1+1,2\times1,3+1,4\times1,5+1,6\times1,7+1,8\times1,9\right)\times\left(1,25-1,25\right)\)

\(=\left(1,1+1,2\times1,3+1,4\times1,5+1,6\times1,7+1,8\times1,9\right)\times0\)

\(=0\)

a) \(A=27\cdot36+73\cdot99+27\cdot14-49\cdot73\)

\(A=27\cdot\left(36+14\right)+73\cdot\left(99-49\right)\)

\(A=27\cdot50+73\cdot50\)

\(A=50\cdot\left(27+73\right)\)

\(A=50\cdot100\)

\(A=5000\)

b) \(B=\left(4^5\cdot10\cdot5^6+25^5\cdot2^8\right):\left(2^8\cdot5^4+5^7\cdot2^5\right)\)

\(B=\dfrac{\left(2^2\right)^5\cdot2\cdot5\cdot5^6+\left(5^2\right)^5\cdot2^8}{2^8\cdot5^4+5^7\cdot2^5}\)

\(B=\dfrac{2^{11}\cdot5^7+5^{10}\cdot2^8}{2^8\cdot5^4+5^7\cdot2^5}\)

\(B-\dfrac{2^8\cdot5^7\cdot\left(2^3\cdot1+5^3\cdot1\right)}{2^5\cdot5^4\cdot\left(2^3\cdot1+5^3\cdot1\right)}\)

\(B=\dfrac{2^8\cdot5^7}{2^5\cdot5^4}\)

\(B=2^3\cdot5^3\)

\(B=10^3\)

\(B=1000\)

3. Tính bằng cách thuận tiện nhất

A, 36 x 532 + 63 x 532 + 532

= (36 + 63 + 1) x 532 = 100 x 532 = 53 200

B, 679 x 123 + 679 - 679 x 24

= 679 x (123 + 1 - 24)

= 679 x 100 = 67 900

C, 245 x 327 - 245 x 18 - 9 x 245

= 245 x (327 - 18 - 9)

= 245 x 300

= 73 500

Bài 2:

a: \(6\cdot\left(x+9845\right)=29042\)

=>\(x+9845=\dfrac{29042}{6}=\dfrac{14521}{3}\)

=>\(x=\dfrac{14521}{3}-9845=-\dfrac{15014}{3}\)

b: \(\left(x:3\right)\cdot8=8\cdot3198\)

=>\(x:3=3198\)

=>\(x=3198\cdot3=9594\)

Bài 1:

a: \(225886+779\cdot8\)

\(=225886+6232\)

\(=232118\)

b: \(125\cdot5\cdot20\cdot8\)

\(=\left(125\cdot8\right)\cdot\left(5\cdot20\right)\)

\(=1000\cdot100=100000\)

c: \(47286:2+14765\)

\(=23643+14765\)

=38408

d: \(91428-23560:5\)

\(=91428-4712\)

=86716

a) 

12,5 x 0,42 x 0,8 : 0,7

= (12,5 x 0,8) x (0,42 : 0,7)

= 10 x 0,6 

= 6

b

9,83 : 1,25 : 8 + 10,23 : 40 : 0,25

= 9,83 : ( 1,25 x 8 ) + 10,23 : ( 40 x 0,25)

= 9,83 : 10 + 10,23 : 10

= ( 9,83 + 10,23 ) : 10

= 20,06 : 10

= 2,006