1. 210 x 13 + 210 x 65/ 28 x 104
2. ( 1+2 + 3 +.............+ 100) x (12 + 22+ 32+............+ 102) x ( 65 x 111- 13x 15 x 37)
3. 11x322 x 37 - 915 / 2 x 314)2
Help!!!!!!!!!!!!!!
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`@` `\text {Ans}`
`\downarrow`
`A)`
`37 \times 46+37 \times 51+111`
`= 37 \times (46+51)+111`
`= 37 \times 97+111`
`= 3589 +111`
`= 3700`
`B)`
`35 \times 215-35 \times 210-175`
`= 35 \times (215-210)-175`
`= 35 \times 5-175`
`= 175-175=0`
`E)`
`76 \times 102-76 \times 2`
`= 76 \times (102-2)`
`= 76 \times 100`
`= 7600`
`C)`
`85 \times 94+85 \times 2 +170 \times 2`
`= 85 \times (94+2) + 170 \times 2`
`= 85 \times 96+170 \times 2`
`= 8160+340`
`= 8500`
`48 \times 56+28 \times 104`
`= 48 \times 28 \times 2+28 \times 104`
`= 28 \times (48 \times 2+104)`
`= 28 \times (96+104)`
`= 28 \times 200`
`= 5600`
`G)`
`206 \times 12-206-206`
`= 206 \times (12-1-1)`
`= 206 \times 10`
`= 2060`
a) 37 x 46 + 37 x 51 + 111
= 37 x ( 46 + 51 ) + 111
= 37 x 97 + 111
= 3589 + 111
= 3700
b) 35 x 215 - 35 x 210 - 175
= 35 x ( 215 - 210 ) - 175
= 35 x 5 - 175
= 175 - 175
= 0
e) 76 x 102 - 76 x 2
= 76 x ( 102 - 2 )
= 76 x 100
= 7600
c) 85 x 94 + 95 x 2 + 170 x 2
= 7990 + 2 x ( 95 + 170 )
= 7990 + 2 x 265
= 7990 + 530
= 8520
48 x 56 + 28 x 104
= 2688 + 2912
= 5600
g) 206 x 12 - 206 - 206
= 2472 - 206 - 206
= 2266 - 206
= 2060
Gọi A là biểu thức 1 + 2 + ...... + 100 ta được:
= A x ( 13 x 5 x 3 x 37 - 13 x 15 x 37 )
= A x ( 13 x 15 x 37 - 13 x 15 x 37 )
= A x 0
= 0
Vậy ( 1 + 2 + ...... + 100 ) x ( 65 x 111 - 13 x 15 x 37 ) = 0
Nhớ k cho mình nhé! Thank you!!!
A, 210x13+210x65/28x104
=210x(13+65)/28x4x26
=210x78/28x22x26
=210x78/210x26
=78/26
=3
b, (1+2+3+...+100)x(12+22+32+...+102)x(65x111-13.15.37)
=(1+2+3+...+100)x(12+22+..+102)x(7215-7215)
=(1+2+..+100)x(12+22+..+102)x0
=0
( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . ( 65 . 111 - 13 . 15 . 37)
=( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . ( 13. 5 . 3. 37 - 13 . 15
37)
=( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . ( 13. 15 . 37 - 13 . 15
37)
=( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . 0
=0
\(\left(1+2+...+100\right)\cdot\left(1^2+2^2+...+10^2\right)\cdot\left(65\cdot111-13\cdot15\cdot37\right)\)
\(=\left[65\cdot111\left(1-1\right)\right]\cdot\left(1+2+...+100\right)\cdot\left(1^2+2^2+...+10^2\right)\)
=0
\(A=\frac{2^{10}.13+2^{10}.65}{2^8.104}=\frac{2^{10}.13+2^{10}.13.5}{2^8.2^2.13.2}\)
\(=\frac{2^{10}.13\left(1+5\right)}{2^{10}.13.2}=\frac{2^{10}.13.6}{2^{10}.13.2}=\frac{6}{2}=3\)
\(B=\left(1+2+3+...+100\right)\left(1^2+2^2+3^2+...+100^2\right)\left(65.111-13.15.37\right)\)
\(=\left(1+2+3+...+100\right)\left(1^2+2^2+...+100^2\right)\left(65.111-13.5.3.37\right)\)
\(=\left(1+2+...+100\right)\left(1^2+2^2+...+100^2\right)\left(65.111-65.111\right)\)
\(=\left(1+2+...+100\right)\left(1^2+2^2+...+100^2\right).0\)
\(=0\)
\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+100\right)=5750\)
\(x+1+x+2+x+3+...+x+100=5750\)
\(x+x+x+...+x+1+2+3+...+100=5750\)
\(100x+5050=5750\)
\(100x=5750-5050\)
\(100x=700\)
\(x=700:100\)
\(x=7\)
t_i_c_k cho mình nha ^^
A = (12+22+32+...+20142)x(65x111-13x3x5x37)
A = (12+22+32+...+20142)x(65x111-65x111)
A = (12+22+32+...+20142)x0
A = 0
đề đoạn kia là 11 => 111 thì đúng hơn nhé
Ta có
\(B=\left(1+2+...+100\right)\left(1^2+2^2+....+100^2\right)\left(65.111-13.15.37\right)\)
( Nói thêm 1 chút nhé . Thường thường với các biểu thức dai và nếu thực hiện các phếp toán trong các ngoặc gần như là 0 thể thì bn phait chú ý tới cái vế sau cùng =)) . Thường là thế )
\(B=\left(1+2+...+100\right)\left(1^2+2^2+....+100^2\right)\left(65.111-13.3.5.37\right)\)
\(B=\left(1+2+...+100\right)\left(1^2+2^2+....+100^2\right)\left(65.111-3.37.5.13\right)\)
\(B=\left(1+2+...+100\right)\left(1^2+2^2+....+100^2\right)\left(65.111-111.65\right)\)
\(B=\left(1+2+...+100\right)\left(1^2+2^2+....+100^2\right)0\)
=> B=0
đề sai rồi nhé!!!
t sửa đề làm lại nè:
\(B=\left(1+2+3+...+100\right).\left(1^2+2^2+3^2+...+100^2\right).\left(65.111-13.15.37\right)\)
Ta có:
\(65.111-13.15.37=65.111-\left(13.5\right).\left(3.37\right)\)
\(=65.111-65.111\)
\(=0\)
\(\Rightarrow B=\left(1+2+3+...+100\right).\left(1^2+2^2+3^2+...+100^2\right).0\)
\(\Rightarrow B=0\)
Dấu chấm là dấu nhân nhé
2.
\(\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left(65\cdot111-13\cdot15\cdot37\right)\\ =\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left(65\cdot111-13\cdot5\cdot3\cdot37\right)\\=\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left[65\cdot111-\left(13\cdot5\right)\cdot\left(3\cdot37\right)\right]\\ =\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot\left[65\cdot111-65\cdot111\right]\\ =\left(1+2+3+...+100\right)\cdot\left(1^2+2^2+3^2+...+10^2\right)\cdot0\\ =0\)