Tính :
2448: (199-17)
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[199-(x-6)]= 2448:24
[199-(x-6)] =102
x-6= 199-102
x-6=97
x=97+6
x=103
2448 : [199 - (x - 6)] = 24
199 - (x -6 ) = 2448 : 24 =102
x - 6 = 199 - 102 = 97
x = 97 + 6
x = 103
\(3^{x+1}=27\)
\(\Rightarrow3^x.3=27\)
\(\Rightarrow3^x=27:3=9=3^2\)
\(\Rightarrow x=2\)
199 x ( 15 - 17 ) - 199 x ( -17 + 5 )
= 199 . ( -2 ) - 199 . (-12)
= 199 . [ -2 - ( -12 ) ]
= 199 . [ -2 + 12 ]
= 199 .10
= 1990
\(a,157.17-157.7=157\left(17-7\right)=1570\)
\(b,5.\left(-3+2\right)-7.\left(5-4\right)=-5-7=-12\)
\(c,17.\left(-84\right)+17\left(-16\right)=17\left[\left(-84\right)+\left(-16\right)\right]=-1700\)
\(d,-145.\left(13-57\right)+57.\left(10-145\right)=6380-7695=-1315\)
\(e,199.\left(15-17\right)-199.\left(-17+5\right)=199.10=1990\)
1: \(=-145\cdot13+145\cdot57+57\cdot10-57\cdot145=-1315\)
2: \(=17\cdot15-17\cdot16+16\cdot17-16\cdot20=255-320=-65\)
3: \(=-38\cdot25+38\cdot4-25\cdot4+25\cdot38=13\cdot4=52\)
4: \(=23\cdot145-23\cdot17-145\cdot23+145\cdot6=479\)
5: \(=24\cdot15-24\cdot4+4\cdot24-4\cdot15=360-60=300\)
6: \(=199\left(15-17+17-5\right)=199\cdot10=1990\)
7: \(=-39\cdot5+39\cdot99+99\cdot10-99\cdot39=795\)
a) \(199\left(15-17\right)-199\left(-17+5\right)\)
\(=199.15-199.17+199.17-199.5\)
\(=199.\left(15-5\right)\)
\(=199.10=1990\)
b) \(73\left(8-59\right)-59\left(8-73\right)\)
\(=73.8-73.59-59.8+59.73\)
\(=8\left(73-59\right)\)
\(=8.14=112\)