\(\left(a-b+c\right)-\left(a+c\right)\)
\(=a-b+c-a-c\)
\(=\left(a-a\right)+\left(c-c\right)-b\)
\(=0+0-b\)
\(=0-b\)
\(=-b\)
1) (a - b + c) - (a + c)
= a - b + c - a - c
= (a - a) - b + (c - c)
= 0 - b + 0 = -b
2) (a + b) - (b - a) + c
= a + b - b + a + c
= (a + a) + (b - b) + c
= 2a + 0 + c = 2a + c
3) -(a + b - c) + (a - b - c)
= -a - b + c + a - b - c
= (-a + a) - (b + b) + (c - c)
= 0 - 2b + 0 = -2b
4) a(b + c) - a(b + d)
= ab + ac - ab - ad
= (ab - ab) + a(c - d)
= 0 + a(c - d) = a(c - d)
5) tự lm
\(\left(a+b\right)-\left(b-a\right)+c\)
\(=a+b-b+a+c\)
\(=\left(a+a\right)+\left(b-b\right)+c\)
\(=2a+0+c\)
\(=2a+c\)
\(-\left(a+b-c\right)+\left(a-b-c\right)\)
\(=-a-b+c+a-b-c\)
\(=\left(-a+a\right)+\left(-b-b\right)+\left(c-c\right)\)
\(=0+\left(-2b\right)+0\)
\(=-2b\)