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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
`@` `\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`
( 51 x 52 - 49 x 48 ) x ( 45 x 128 ) x ( 45 x128 - 90 x 64) x ( 1995 x 1996 x 1997)
= ( 51 x 52 - 49 x 48 ) x ( 45 x 128 ) x ( 5760 - 5760 ) x ( 1995 x 1996 x 1997)
= ( 51 x 52 - 49 x 48 ) x ( 45 x 128 ) x 0 x ( 1995 x 1996 x 1997)
= 0.
#Y/n
Ta nhận thấy :
45 x 128 – 90 x 64 = 45 x (2 x 64) – 90 x 64
= (45 x 2) x 64 – 90 x 64
= 90 x 64 – 90 = 0
Trong 1 tích có 1 thừa số bằng 0. Vậy tích đó bằng 0, tức là :
(45 x 46 + 47 x 48) x (51 x 52 – 49 x 48) x (45 x 128 – 90 x 64) x (1995 x 1996 + 1997 x 1998) = 0
c, Ta nhận thấy:
45 x 128 – 90 x 64 = 45 x (2 x 64) – 90 x 64
= (45 x 2) x 64 – 90 x 64
= 90 x 64 – 90 = 0
Trong 1 tích có 1 thừa số bằng 0. Vậy tích đó bằng 0, tức là:
(45 x 46 + 47 x 48) x (51 x 52 – 49 x 48) x (45 x 128 – 90 x 64) x (1995 x 1996 + 1997 x 1998) = 0
\(\left(45\cdot46+47\cdot48\right)\cdot\left(51\cdot52-49\cdot48\right)\cdot\left(45\cdot128-90\cdot64\right)\cdot\left(1995\cdot1996+1997\cdot1998\right)\)
\(=\left(45\cdot46+47\cdot48\right)\cdot\left(51\cdot52-49\cdot48\right)\cdot\left(45\cdot2\cdot64-90\cdot64\right)\cdot\left(1995\cdot1996+1997\cdot1998\right)\)
\(=\left(45\cdot46+47\cdot48\right)\cdot\left(51\cdot52-49\cdot48\right)\cdot\left(90\cdot64-90\cdot64\right)\cdot\left(1995\cdot1996+1997\cdot1998\right)\)
\(=\left(45\cdot46+47\cdot48\right)\cdot\left(51\cdot52-49\cdot48\right)\cdot0\cdot\left(1995\cdot1996+1997\cdot1998\right)\)
\(=0\)
=(45x46x47x38) x (51x52-49x48) x 0 x 1995x1996+1997x1998)
=0
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
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