b: =100x1000=100000

a)=\(\left[72.\left(-2\right)\right].\left[-50.\left(-2\right)\right]\)

=-144.100

=-14400

b)=(125.8).(-5).(-20)

=1000.100

=100000

c)=\(\left[125.\left(-4\right)\right]\).(-3).(-32)

=-500.96

=-48000

d)=-492.125

=-60500

a: \(=\dfrac{4\cdot11\cdot3}{4\cdot9}\cdot\dfrac{1}{121}=\dfrac{11}{121}\cdot\dfrac{1}{3}=\dfrac{1}{33}\)

b: \(=\dfrac{7}{9}\left(\dfrac{3}{4}+\dfrac{1}{4}\right)=\dfrac{7}{9}\)

c: \(=\dfrac{-6}{7}-\dfrac{1}{7}+\dfrac{2}{11}+\dfrac{9}{11}+\dfrac{12}{17}=\dfrac{12}{17}\)

A

a

\(\left(x+5\right)^2-\left(x-3\right)\left(x+7\right)=19\\ x^2+10x+25-\left(x^2+7x-3x-21\right)=19\\ x^2+10x+25-x^2-7x+3x+21=19\\ 6x+46=19\\ 6x=19-46\\ 6x=-27\\ x=\dfrac{-27}{6}\\ x=-4,5\)

Chọn D

D

Bài 9:

a) Ta có: \(A=\left(2x+y\right)^2-\left(2x+y\right)\left(2x-y\right)+y\left(x-y\right)\)

\(=4x^2+4xy+y^2-4x^2+y^2-xy-y^2\)

\(=3xy-y^2\)

\(=3\cdot\left(-2\right)\cdot3-3^2=-18-9=-27\)

b) Ta có: \(B=\left(a-3b\right)^2-\left(a+3b\right)^2-\left(a-1\right)\left(b-2\right)\)

\(=a^2-6ab+9b^2-a^2-6ab-9b^2-ab+2a+b-2\)

\(=-13ab+2a+b-2\)

\(=-13\cdot\dfrac{1}{2}\cdot\left(-3\right)+2\cdot\dfrac{1}{2}+\left(-3\right)-2\)

\(=\dfrac{31}{2}\)

Bài 7: 

a) \(498^2=\left(500-2\right)^2=250000-2000+4=248004\)

b) \(93\cdot107=100^2-7^2=10000-49=9951\)

c) \(163^2+74\cdot163+37^2=\left(163+37\right)^2=200^2=40000\)

d) \(1995^2-1994\cdot1996=1995^2-1995^2+1=1\)

e) \(9^8\cdot2^8-\left(18^4-1\right)\left(18^4+1\right)\)

\(=18^8-18^8+1=1\)

f) \(125^2-2\cdot125\cdot25+25^2=\left(125-25\right)^2=100^2=10000\)

Bài 8:

a) Ta có: \(\left(x^2+3x+1\right)^2-2\left(x^2+3x+1\right)\left(3x-1\right)+\left(3x-1\right)^2\)

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

\(=\left(x^2+2\right)^2\)

\(=x^4+4x^2+4\)

b) Ta có: \(\left(3x^3+3x+1\right)\left(3x^3-3x+1\right)-\left(3x^3+1\right)^2\)

\(=\left(3x^3+1\right)^2-9x^2-\left(3x^3+1\right)^2\)

\(=-9x^2\)

c) Ta có: \(\left(2x^2+2x+1\right)\left(2x^2-2x+1\right)-\left(2x^2+1\right)^2\)

\(=\left(2x^2+1\right)^2-4x^2-\left(2x^2+1\right)^2\)

\(=-4x^2\)

giải giùm mình nhen mn. lu

\(a,\left(25\times32\right):8=25\times\left(32:8\right)=25\times4=100\\ b,\left(56\times125\right):7=\left(56:7\right)\times125=8\times125=1000\)

=100

=1000

Lời giải:

$A=(99-97)+(95-93)+(91-89)+...+(7-5)+(8-1)$

$=\underbrace{2+2+2+...+2}_{24}+7$

$=2\times 24+7$

$=55$

\(a.415\times7-415\times5+415\times8\)

\(=415\times\left(7-5+8\right)=415\times10=4150\)

\(b.23\times87+12\times23+23\)

\(=23\times\left(87+12+1\right)=23\times100=2300\)

a. 415 x 7 - 415 x 5 + 4 15  x 8

= 415 x ( 7 - 5 + 8 )

= 415 x 10

= 41 50

b. 23 x 87 + 1 2 x 23 + 2 3

= 23x 87 + 12 x 23 + 23 x 1

= 23 x ( 87  + 12 + 1 )

= 23 x 100

= 2300

= 

a. 37. 38 + 62. 37

= 37 . (38 + 62)

= 37 . 100

= 3700

b. 28. 64 + 28. 36

= 28 . (64 + 36)

= 28 . 100

= 2800

c. 3. 25. 8 + 4. 37. 6 + 2. 38. 12 

= 3 . 8 . 25 + 4 . 6 . 37 + 12 . 2 . 38

= 24 . 25 + 24 . 37 + 24 . 38

= 24 . (25 + 37 + 38)

= 24 . 100

= 2400