Tính
( a+b ) - ( a-b )
( xy+yz-x ) + ( x+xy-2yz )
( 2m+7n-9mn ) - ( 6mn + 15m - 27n - 21)
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a: =a+b-a+b=2a
b: =xy+yz-x+x+xy-2yz=-yz
c: =2m+7n-9mn-6mn-15m+27n+21
=-13m+34n-15mn+21
\(\left(2m+7n-9mn\right)-\left(6mn+15m-27n-21\right).\\ =2m+7n-9mn-6mn-15m+27n+21.\\ =-15mn-13m+34n+21.\)
a, A=xy+7x-3y-21 b,B= xyz+xz-yz-z+xy+x-y-1
A=(xy+7x)-(3y+21) B=(xyz+xz)-(yz+z)+(xy+x)-(y+1)
A=x(y+7)-3(y+7) B=xz(y+1)-z(y+1)+x(y+1)-(y+1)
A=(y+7)(x-3) B=(y+1)(xz-z+x-1)
Thay x=103, y=-17 vào biểu thức ta có: B=(y+1)[(xz-z)+(x-1)]
A=(-17+7)(103-3) B=(y+1)[z(x-1)+(x-1)]
A=(-10)(100) B=(y+1)(x-1)(z+1)
A=-1000 Thay x=-9, y=-21, z=-31 vào biểu thức ta có:
B=(-21+1)(-9-1)(-31+1)
B=(-20)(-10)(-30)
B=200(-30)
B=-6000
\(B=\dfrac{x+2xy+1}{x+xy+xz+1}+\dfrac{y+2yz+1}{y+yz+ỹ+1}+\dfrac{z+2zx+1}{z+zx+zy+1}\)
\(B=\dfrac{yz\left(x+2xy+1\right)}{yz\left(x+xy+xz+1\right)}+\dfrac{xz\left(y+2yz+1\right)}{xz\left(y+yz+ỹ+1\right)}+\dfrac{xy\left(z+2zx+1\right)}{xy\left(z+zx+zy+1\right)}\)
\(B=\dfrac{\left(1+y\right)+y\left(1+z\right)}{\left(1+y\right)\left(1+z\right)}+\dfrac{\left(1+z\right)+z\left(1+x\right)}{\left(1+z\right)\left(1+x\right)}+\dfrac{\left(1+x\right)+x\left(1+y\right)}{\left(1+x\right)\left(1+y\right)}\)
\(B=\dfrac{y}{1+y}+\dfrac{1}{1+z}+\dfrac{1}{1+x}+\dfrac{z}{1+z}+\dfrac{1}{1+y}+\dfrac{x}{1+x}\)
\(B=\left(\dfrac{y}{1+y}+\dfrac{1}{1+y}\right)+\left(\dfrac{1}{1+z}+\dfrac{z}{1+z}\right)+\left(\dfrac{x}{1+x}+\dfrac{1}{1+x}\right)\)
\(B=1+1+1\)
\(B=3\)
\(\left(a+b\right)-\left(a-b\right).\\ =a+b-a+b.\\ =2b.\\ \left(xy+yz-x\right)+\left(x+xy-2yz\right).\\ =xy+yz-x+x+xy-2yz.\\ =2xy-yz.\\ =\left(2m+7n-9mn\right)-\left(6mn+15m-27n-21\right).\\ =2m+7n-9mn-6mn-15m+27n+21.\\ =-13m+34n-15mn+21.\)