rut gon
a)\(\left(x-4\right)\left(x+4\right)x-\left(x^2+1\right)\left(x^2-1\right)\)
b)\(\left(y-3\right)\left(y+3\right)\left(y^2+9\right)-\left(y^2+2\right)\left(y^2-2\right)\)
c)\(x\left(x+\frac{1}{2}\right)-\left(2x-1\right)\left(x+\frac{3}{4}\right)\)
rut gon \(\left(x-y\right)^3+\left(y+x\right)^3+\left(y-x\right)^3-3xy\left(x+y\right)\)
Rut gon
a)\(\left(x-4\right)\left(x+4\right)x-\left(x^2+1\right)\left(x^2-1\right)\)
b)\(\left(y-3\right)\left(y+3\right)\left(y^2+9\right)-\left(y^2+2\right)\left(y^2-2\right)\)
c)\(x\left(x+\frac{1}{2}\right)-\left(2x-1\right)\left(x+\frac{3}{4}\right)\)
giai chi tiet giup minh nhe
rut gon bieu thuc
B= \(\frac{x^3-y^3-z^3-3xyz}{\left(x+y\right)^2+\left(y-z\right)^2+\left(x+z\right)^2}\)
rut gon bieu thuc
\(Q=\left(x-y\right)^3+\left(y+x\right)^3+\left(y-x\right)^3-3xy\left(x+y\right)\)
\(P=12\left(5^2+1\right).\left(5^4+1\right).\left(5^8+1\right).\left(5^{16}+1\right)\)
1)Phân tích đa thức sau thành nhân tử ;
a)\(x^3+\left(a+b+c\right)\times x^2+\left(ab+ac+bc\right)\times x+abc\)
b)\(x\times\left(y^2-z^2\right)+y\left(z^2-x^2\right)-z\left(x^2-y^2\right)\)
1) CM:
\(\frac{x^2+y^2-z^2-2zt+2xy-t^2}{x+y-z-t}=\frac{x^2-y^2+z^2-2zt+2xz-t^2}{x-y+z-t}\)
2) Rut gon
\(\frac{\left(2^{4+4}\right)\left(6^4+4\right)\left(10^4+4\right)\left(14^4+4\right)}{\left(4^4+4\right)\left(8^4+4\right)\left(12^4+4\right)\left(16^4+4\right)}\)
Cho bieu thuc
\(P=\frac{x^2}{\left(x+y\right)\left(1-y\right)}-\frac{y^2}{\left(x+y\right)\left(x+1\right)}-\frac{x^2y^2}{\left(x+1\right)\left(1-y\right)}\)
Rut gon P= x+xy-y
DKXD \(x\ne y\); \(x\ne-1\):\(y\ne1\)
Tim x y de P nguyen duong thoa man \(x^2+y^2+3xy-x-3y=0\)
rut gon bieu thuc:
a,\(x\left[x-y\right]+y\left[x-y\right]\)
b,\(x^{n-1}\left[x+y\right]-y\left[x^{n-1}+y^{n-1}\right]\)