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`@` `\text {Ans}`
`\downarrow`
`2023 \times 14 + 2023 \times 83+97`
`= 2023 \times (14+83) + 97`
`= 2023 \times 97 + 97`
`= 196231 +97`
`= 196328`
`78 \times 31+78 \times 24+78 \times 17+78 \times 22 \times 72`
`= 78 \times (31+24+17+22 \times 72)`
`= 78 \times (31+24+17+1584)`
`= 78 \times 1656`
`= 129168`
`371 \times 69+371 \times 14+629 \times 83`
`= 371 \times (69+14) + 629 \times 83`
`= 371 \times 83 + 629 \times 83`
`= 83 \times (371+629)`
`= 83 \times 1000`
`= 83000`
`91 \times 51+49 \times 163-49 \times 72`
`= 91 \times 51 + 49 \times (163-72)`
`= 91 \times 51+49 \times 91`
`= 91 \times (51+49)`
`= 91 \times 100`
`= 9100`
`3 \times 12 \times 17 + 4 \times 9 \times 81 + 2 \times 6 \times 6`
`= 9 \times 4 \times 17 + 4 \times 9 \times 81 + 4 \times 9 \times 2`
`= 9 \times 4 \times (17+81+2)`
`= 36 \times 100`
`= 3600`
`42 \times 17 + 58 \times 83 \times 42 \times 83 + 42 \times 83 + 17`
`= 17 \times (42+58) + 42 \times 83 \times (58 \times 83 +1)`
`= 17 \times 100 + 3486 \times 4815`
`= 1700 + 16785090`
`= 16786790`
81 x 51 + 49 x 153 - 49 x 72
= 49 x 2 x 51 + 49 x 153 - 49 x 72
= 49 x 102 + 49 x 153 - 49 x 72
= 49 x ( 102 + 153 - 72 )
= 49 x 183
= 8967
341 x 67 + 371 x 16 + 659 x 83
= 22847 + 5936 + 54697
= 83480
a) -23/49 = -1081/2303
-25/47 = -1225/2303
=> -1081/2303 > -1225/2303 hay -23/49 > -25/47
b) -317/633 = -235531/470319
-371/743 = -234843/470319
=> -235531/470319 < -234843/470319 hay -317/633 < -371/743
1) x : 7 + 20 = 17 x 49 + 17 x 51
x : 7 +20 = 17 x ( 49+51)
x : 7 +20 =1700
x : 7 = 1700 - 20 =1680
x = 1680 x 7 =11 760
2) 287 - ( x+ 34) x 3 - 25 = 142
287-(x+34)x3 = 142 + 25 =167
( x+34) x 3 = 287 - 167=120
x + 34 = ``120 : 3 =40
x = 40 - 34 = 6
3)13x + 15x + 12x = 120
40x = 120
x = 120 : 40 = 3
a: \(=81\cdot51+49\cdot81=81\cdot100=8100\)
b: \(=371\left(65+25+10\right)=37100\)
a,81*51+49*153-49*72
= 81*51+49*(153-72)
=81*51+49*81
=81*(51+49)
=81*100
=8100