Bài 5.
a) \(N=-\left\{-\left(a+b\right)-\left[\left(a-b\right)-\left(a+b\right)\right]\right\}\)
\(=\left(a+b\right)+\left[\left(a-b\right)-\left(a+b\right)\right]\)
\(=a+b+\left(a-b-a-b\right)\)
\(=a+b+\left(-2b\right)\)
\(=a-b\)
b) Thay \(a=-5;b=-3\) vào \(N\), ta được:
\(N=-5-\left(-3\right)=-5+3=-2\)
Bài 6.
a) \(M=\left(a-b\right)+\left\{a-\left[\left(a+b\right)-\left(a-b\right)\right]\right\}\)
\(=a-b+\left[a-\left(a+b-a+b\right)\right]\)
\(=a-b+\left(a-2b\right)\)
\(=a-b+a-2b\)
\(=2a-3b\)
b) Thay \(a=7;b=2\) vào \(M\), ta được:
\(M=2\cdot7-3\cdot2=14-6=8\)
Bài 7.
a) \(N=-\left\{\left(a-b\right)+\left[b-\left(a+b\right)-\left(a-b\right)\right]\right\}\)
\(=-\left[a-b+\left(b-a-b-a+b\right)\right]\)
\(=-\left[a-b+\left(-2a+b\right)\right]\)
\(=-\left(a-b-2a+b\right)\)
\(=-\left(-a\right)\)
\(=a\)
b) Thay \(a=7\) vào \(N\), ta được: \(N=7\)
\(Toru\)