a) 21.7²-11.7²+90.7²+49.125.16

=21.7²-11.7²+90.7²+7².2000

=7².(21-11+90+2000)

=7².2100

=49.2100

=102900

a) \(21\cdot7^2-11\cdot7^2+90\cdot7^2+7^2\cdot125\cdot16=7^2\cdot\left(21-11+90+125\cdot16\right)=7^2\cdot2100=102900\)

\(21.7^2-11.7^2+90.7^2+49.125.16\)

=\(21.7^2-11.7^2+90.7^2+7^2.2000\)

=\(7^2.\left(21-11+90+2000\right)\)

=\(7^2.2100\)

=\(102900\)

a, 35.34 + 35.86 + 65.75 + 65.45

= 35.(34 + 86) + 65.(75 + 45)

= 35.120 + 65.120

= 120.(35+65)

= 120.100

= 12000

b, \(7.5^2-32:2^3+9\)

= 7.25 - 32:8 + 9

= 175 - 4 + 9

= 180

a) 35.34 + 35.86 + 65.75 + 65.45 =

( 35 + 65 ) x ( 34 + 86 ) + ( 75 + 45 )

100 x 120 x 120

100 x 14400

1440000

\(35\cdot34+35\cdot86+65\cdot75+65\cdot45\\ =35\cdot\left(34+86\right)+65\cdot\left(75+45\right)\\ =35\cdot120+65\cdot120\\ =120\cdot\left(35+65\right)\\ =120\cdot100\\ =12000\)

=202,35 tk m nhé

=202.35

35.34 + 35.86 + 65.75 + 65.4

= 35.(34+86) + 65.(75+4)

= 35.120 + 65.79

= 3840 + 5135

= 8975

Xét\(3A=1\cdot2\left(3-0\right)+2\cdot3\left(4-1\right)+\cdot\cdot\cdot+99\cdot100\left(101-98\right)\)

     \(3A=1\cdot2\cdot3-0\cdot1\cdot2+2\cdot3\cdot4-1\cdot2\cdot3+...+99\cdot100\cdot101-98\cdot99\cdot100\)

     \(3A=99\cdot100\cdot101\)

\(\Rightarrow A=33\cdot100\cdot101=30300\)

A = 1 . 2 + 2 . 3 + 3 . 4 + ... + 99 . 100

3A = 1 . 2 . 3 + 2 . 3 . 3 + 3 . 4 . 3 + ... + 99 . 100 . 3

3A = 1 . 2 . ( 3 - 0 ) + 2 . 3 . ( 4 - 1 ) + 3 . 4 . ( 5 - 2 ) + ... + 99 . 100 . ( 101 - 98 )

3A = 1. 2 . 3 - 0 . 1 . 2 6 2 . 3 . 4 - 1 . 2 . 3 + 3 . 4 . 5 + 2 . 3 . 4 + ... + 99 . 100 . 101 - 98 . 99 . 100

3A = ( 1 . 2 . 3 - 1 . 2 . 3 ) + ( 2 . 3 . 4 - 2 . 3 . 4 ) + ... + ( 98 . 99 . 100 - 98 . 99 . 100 ) + ( 99 . 100 . 101 - 0.1 . 2 )

3A = 0 + 0 + 0 + ... + 0 + 99 . 100 . 101 - 0 . 1 . 2

3A = 99 . 100 . 101 - 0

A = \(\frac{99\cdot100\cdot101}{3}=333300\)

\(35\cdot34+35\cdot86+65\cdot75+65\cdot45=35\left(34+86\right)+65\left(75+45\right)\)

                                                                              \(=35\cdot120+65\cdot120\)

                                                                                \(=120\left(35+65\right)\)

                                                                                \(=120\cdot100=12000\)

bạn ơi coi lại để thử đi

đúng đề rồi bn ơi

A,35*34+35*86+65*75+65*45

=35*[34+86]+65*[75+45]

=35*100+65*120

=35*100+65*100+65*20

=[35+65]*100+65*20

=10000+1300=11300

a) 35× 34 +35× 86 + 65 × 75 + 65× 45

= 35× ( 34+86) + 65× (75 + 45)

= 35× 120 + 65 × 120

= 120 × ( 35 + 65)

= 120 × 100 = 12000