\(\left(a+b\right)-\left(-a+b-c\right)+\left(c-a-b\right)\)
\(=a+b+a-b+c+c-a-b\)
\(=\)\(a-b+2c\)( đpcm )
\(a\left(b-c\right)-a\left(b+d\right)\)
\(=a\left(b-c-b-d\right)\)
\(=\)\(a\left(-c-d\right)\)
\(=-a\left(c+d\right)\)( đpcm )
học tốt
Chứng minh đẳng thức:
a) \(\left(a+b\right)\left(c+d\right)-\left(a+d\right)\left(b+c\right)=\left(a-c\right)\left(d-b\right)\)
b) \(\left(a-c\right)\left(b+d\right)-\left(a-d\right)\left(b+c\right)=\left(a+b\right)\left(d-c\right)\)
Chứng minh đẳng thức
\(\left(a-c\right)\left(b+d\right)-\left(a-d\right)\left(b+c\right)=\left(a+b\right)\left(d-c\right)\)
Chứng minh đẳng thức
a) \(\left(x-y\right)-\left(x-z\right)=\left(z+x\right)-\left(y+x\right)\)
b) \(\left(x-y+z\right)-\left(y+z-x\right)-\left(x-y\right)=\left(z-y\right)-\left(z-x\right)\)
c) \(a\left(b+c\right)-b\left(a-c\right)=\left(a+b\right)c\)
d) \(a\left(b-c\right)-a\left(b+d\right)=-a\left(c+d\right)\)
e) \(\left(a+b\right)\left(c+d\right)-\left(a+d\right)\left(b+c\right)=\left(a-c\right)\left(d-b\right)\)
f) \(\left(a-c\right)\left(b+d\right)-\left(a-d\right)\left(b+c\right)=\left(a+b\right)\left(d-c\right)\)
Chứng minh đẳng thức
\(-\left(a+b+c+1\right)+\left(b-c\right)-\left(a-c-1\right)=-c-2a\)
CMR
\(a,\left(a-b\right)+\left(c-d\right)=\left(a+c\right)-\left(b+d\right)\)
\(b,\left(a-b\right)-\left(c-d\right)=\left(a+d\right)-\left(b+c\right)\)
chứng minh đẳng thức: \(\frac{\left(a-b\right)^4}{\left(c-d\right)^4}=\frac{a^4+b^4}{c^4+d^4}\) biết \(\frac{a}{b}=\frac{c}{d}\)
Bài 1 :Chứng tỏ rằng:
\(\left(a-b\right)-\left(b+c\right)+\left(c-a\right)-\left(a-b-c\right)=\)\(-\left(a+b-c\right)\)
Bài 2 : Cho \(a,b,c,d\in N\) và \(a\ne0\).Chứng tỏ rằng biếu thức P luôn âm , biết rằng ;
\(P=a.\left(b-a\right)-b.\left(a-c\right)-bc\)
Rút gọn các biểu thức sau :
a) \(A=\left(a-b\right)+\left(a+b-c\right)-\left(a-b-c\right)\)
b) \(B=\left(a-b\right)-\left(b-c\right)+\left(c-a\right)-\left(a-b-c\right)\)
c) \(C=\left(-a+b+c\right)-\left(a-b+c\right)-\left(-a+b-c\right)\)
ĐƠN GIẢN CÁC BIỂU THỨC
\(a,-b-\left(b-a+c\right)\) \(b,-\left(a-b+c\right)-\left(c-a\right)\)
\(c,b-\left(b+a-c\right)\) \(d,a-\left(-b+a-c\right)\)
