Rút gọn biểu thức :
a . \(\left(a+b+c\right)^2+\left(a-b-c\right)^2+\left(b-c-a\right)^2+\left(c-a-b\right)^2\)
b . \(\left(a+b+c+d\right)^2+\left(a+b-c-d\right)^2+\left(a+c-b-d\right)^2+\left(a+d-b-c\right)^2\)
Rút gọn biểu thức:
a) \(\left(a+b+c\right)^2+\left(a-b-c\right)^2+\left(b-c-a\right)^2+\left(c-a-b\right)^2\)
b) \(\left(a+b+c+d\right)^2+\left(a+b-c-d\right)^2+\left(a+c-b-d\right)^2+\left(a+d-b-c\right)^2\)
rút gọn biểu thức:
\(\left(a+b+c+d\right)^2+\left(a+c-c-d\right)^2+\left(a-b+c-d\right)^2+\left(a-b-c+d\right)^2\)
Rút gọn các biểu thức sau:
A =\(\left(a-b\right)\left(a+b\right)\left(a^2+b^2\right)\left(a^4+b^4\right)\left(a^8+b^8\right)\left(a'^6+b'^6\right)\)
B = \(\left(x+1\right)^2+\left(x+2\right)^{^2}-2\left(x-3\right)^2-18\left(x-1\right)\)
C = \(\left(a+b-c\right)^2+\left(a+b+c\right)^2-2\left(a+b\right)^2\)
D = \(\left(a+b-c\right)^2-\left(a-b+c\right)^2-4a\left(b-c\right)\)
Mk cần gấp! Mong mọi người giúp ạ!
Rút gọn biểu thức:
\(a.\left(a-b+c\right)^2\)
\(b.\left(2a+3b-4c\right)^2\)
\(c.\left(a-b+c\right)^2-\left(b-c\right)^2+2ab-2ac\)
\(d.\left(a+b-c\right)^2+\left(a-b+c\right)^2-2\left(b-c\right)^2\)
\(\left(a+b+c+d\right)^2\left(a+b-c-d\right)^2+\left(a+c-b+d\right)^2+\left(a+d-b-c\right)^2\)\(\left(a+b+c\right)^2+\left(a-b-c\right)^2+\left(b-c-a\right)^2+\left(c-a-b\right)^2\)
rút gọn biểu thức
a. \(\left(a+b+c\right)^2+\left(a+b-c\right)^2-2\left(a+b\right)^2\)
b. \(\left(a^2+b^2-c^2\right)^2-\left(a^2-b^2+c^2\right)^2\)
Rút gọn biểu thức sau
\(\frac{a^2\left(b-c\right)+b^2\left(c-a\right)+c^2\left(a-b\right)}{a^2\left(b-c\right)-b^2\left(c+a\right)-c^2\left(a-b\right)+2abc}\)
65. Phân tích đa thức thành nhân tử
a) \(ab\left(a+b\right)-bc\left(b+c\right)+ac\left(a-c\right)\)
b) \(a\left(b^2+c^2\right)+b\left(c^2+a^2\right)+c\left(a^2+b^2\right)+2abc\)
c) \(\left(a+b\right)\left(a^2-b^2\right)+\left(b+c\right)\left(b^2+c^2\right)+\left(c+a\right)\left(c^2+a^2\right)\)
d) \(a^3\left(b-c\right)+b^3\left(c-a\right)+c^3\left(a-b\right)\)
e) \(a^3\left(c-b^2\right)+b^3\left(a-c^2\right)+c^3\left(b-a^2\right)+abc\left(abc-1\right)\)