1,Rút gọn:
a, A= (a+b+c+d)\(^2\)+(a+b−c−d)\(^2\)+(a+c−b−d)\(^2\)+(a+d−b−c)\(^2\)
b, B= \(\left(3+1\right).\left(3^2+1\right).\left(3^4+1\right).\left(3^8+1\right).\left(3^{16}+1\right).\left(3^{32}+1\right)\)
2, Cho x+y=a, x.y=b. Tính:
\(a,x^2+y^2\)
\(b,x^3+y^3\)
\(c,x^4+y^4\)
\(d,x^5+y^5\)
3,
a, Cho x+y=z, \(x^2+y^2=10.\)Tính \(x^3+y^3\)
b, x+y=a, \(x^2+y^2=b.\)Tính \(x^3+y^3\)theo a,b.
Giúp mk với! Thanks.
Cho \(A=\frac{1}{\left(x+y\right)^3}\left(\frac{1}{x^4}-\frac{1}{y^4}\right);B=\frac{1}{\left(x+y\right)^4}\left(\frac{1}{x^3}-\frac{1}{y^3}\right);C=\frac{1}{\left(x+y\right)^5}\left(\frac{1}{x^2}-\frac{1}{y^2}\right)\)
a) Rút gọn tổng A+B+C
b) Tính tổng A+B+C tại x=2016;y=2017
Cho \(A=\frac{1}{\left(x+y\right)^3}\left(\frac{1}{x^4}-\frac{1}{y^4}\right);B=\frac{2}{\left(x+y\right)^4}\left(\frac{1}{x^3}-\frac{1}{y^3}\right);C=\frac{2}{\left(x+y\right)^5}\left(\frac{1}{x^2}-\frac{1}{y^2}\right)\)
a) Tính B+C
b) Tính A+B+C
P/s: Nhờ mọi người giúp e bài này vs ah! e cần gấp
thanks all:333
Rút gọn biểu thức:
a) \(A=\left(x-y\right)^3+\left(y+x\right)^3+\left(y-x\right)^3-3xy\left(x+y\right)\)
b) \(B=3x^2\left(x+1\right)\left(x-1\right)-\left(x^2-1\right)\left(x^4+x^2+1\right)+\left(x^2-1\right)^3\)
c) \(C=\left(x+y\right)\left(x^2-xy+y^2\right)+\left(x-y\right)\left(x^2+xy+y^2\right)-2x^3\)
d) \(D=\left(x+1\right)^3+\left(x-1\right)^3+x^3-3x\left(x+1\right)\left(x-1\right)\)
Bài 1 : Rút gọn
a)\(\frac{x^3+y^3+z^3-3xyz}{\left(x-y\right)^2+\left(y-z\right)^2+\left(z-x\right)^2}\)
b) \(\frac{a^2\left(b-c\right)+b^2\left(c-a\right)+c^2\left(a+b\right)}{a^4\left(b^2-c^2\right)+b^4\left(c^2-a^2\right)+c^4\left(a^2-b^2\right)}\)
phân tích đa thức thành nhân tử
a) \(x^4+x^3+2x^2+x+1\)
b) \(a^3+b^3+c^3-3abc\)
c) \(\left(x-y\right)^3+\left(y-z\right)^3+\left(z-x\right)^3\)
d) \(\left(a+b+c\right)^3-a^3-b^3-c^3\)
e) \(8\left(x+y+z\right)^3+\left(x+y\right)^3-\left(y+z\right)^3-\left(z+x\right)^3\)
f) \(x^2\left(y-z\right)+y^2\left(z-x\right)+z^2\left(x-y\right)\)
Tính A+B+C biết A=\(\frac{1}{\left(x+y\right)^3}.\left(\frac{1}{x^4}-\frac{1}{y^4}\right)\) , B=\(\frac{2}{\left(x+y\right)^4}.\left(\frac{1}{x^3}-\frac{1}{y^3}\right)\) ,C=\(\frac{1}{\left(x+y\right)^5}.\left(\frac{1}{x^2}-\frac{1}{y^2}\right)\)
Phân tích đa thức thành nhân tử :
1) \(A=\left(x^2+y^2+z^2\right)\left(x+y+z\right)^2+\left(xy+yz+zx\right)^2\)
2)\(B=2\left(x^4+y^4+z^4\right)-\left(x^2+y^2+z^2\right)-2\left(x^2+y^2+z^2\right)\left(x+y+z\right)^2+\left(x+y+z\right)^4\)
3)\(\left(a+b+c\right)^3-4\left(a^3+b^3+c^3\right)-12abc\)
Rút gọn các biểu thức sau :
a ) A = \(\left(\frac{1}{4}x-y\right)\left(x^2+4xy+16y^2\right)+4\left(4y^3-\frac{1}{16}x^3+1\right)\)
b ) B = \(2x\left(x-4\right)^2-\left(x+5\right)\left(x-2\right)\left(x+2\right)+2\left(x-5\right)^2-\left(x-1\right)^2\)
c ) C = \(\frac{80x^3-125x}{3\left(x-3\right)-\left(x-3\right)\left(8-4x\right)}\)
d ) D = \(\frac{\left(a-b\right)\left(c-d\right)}{\left(b^2-a^2\right)\left(d^2-c^2\right)}\)
Mình đg cần gấp . đảm bảo tick trả đầy đủ
PHÂN TÍCH ĐA THỨC THÀNH NHÂN TỬ :
a) \(x^3+x^2z+y^2z-xyz+y^3.\)
b) \(bc\left(b+c\right)+ca\left(c-a\right)-ab\left(a+b\right)\)
c) \(a^2\left(b-c\right)+b^2\left(c-a\right)+c^2\left(a-b\right)\)
d) \(a^6-a^4+2a^3+2a^2\)
e) \(x^9-x^7-x^6-x^5+x^4+x^3+x^2-1\)
f) \(\left(x+y+z\right)^3-x^3-y^3-z^3\)
g) \(\left(a+b+c\right)^3-\left(a+b-c\right)^3-\left(b+c-a\right)^3-\left(c+a-b\right)^3\)
h) \(x^3+y^3+z^3-3xyz\)
