Câu 1 : đơn giản biểu thức
1 .( x + 1982 + 172 ) + (- 1982 ) -162
2 . 2x - [(a + b - c ) -( x + a - 2 )] + ( 2b + c -3 )
3 . 235 + x - ( 65 + x ) + x
4 . ( a + b +1 ) - ( a - c + 1 ) - ( b + c )
5 . a - ( b + c - d ) + ( - d ) - a
6 . ( a + b - c - 2019 ) - ( c - b + a - 2020 ) + c
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a, \(\left(x+1982+172\right)+\left(-1982\right)-162\)
\(=x+1982+172-1982-162=x+10\)
b, \(2x-\left[\left(x+b-c\right)-\left(x+a-2\right)\right]+\left(2b+c-3\right)\)
\(=2x-\left(x+b-c-x-a+2\right)+2b+c-3\)
\(=2x-\left(-a+b-c+2\right)+2b+c-3\)
\(=2x+a-b+c-2+2b+c-3=2x+a+b+2c-5\)
c, \(235+x-\left(65+x\right)+x=235+x-65-x+x=170+x\)
d, \(\left(a+b+1\right)-\left(a-c+1\right)-\left(b+c\right)\)
\(=a+b+1-a+c-1-b-c=0\)
e, \(a-\left(b+c-d\right)+\left(-d\right)-a=a-b-c+d-d-a=-b-c\)
f, \(\left(a+b-c-2019\right)-\left(c-b+a-2020\right)+c\)
\(=a+b-c-2019-c+b-a+2020+c=2b+1\)
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