\(3\left(x^4+x^2+1\right)-\left(x^2+x+1\right)^2=3[\left(x^4+2x^2+1\right)-x^2]-\left(x^2+x+1\right)^2\)\(=3[\left(x^2+1\right)^2-x^2]-\left(x^2+x+1\right)^2\)
\(=3\left(x^2-x+1\right)\left(x^2+x+1\right)-\left(x^2+x+1\right)^2\)
\(=\left(x^2+x+1\right)\left(2x^2-4x+2\right)=2\left(x-1\right)^2\left(x^2+x+1\right)\)
Phan tich da thuc sau thanh nhan tu : (x+1)(x+2)(x+3)(x+4)-8
phan tich da thuc thanh nhan tu
\(\left(x^2-y^2+1\right)^3-x^6-y^6-1\)
phan tich da thuc thanh nhan tu:
x^2-xy-2y^2
phan tich da thuc thanh nhan tu
a)x4+x2+x+1
b)11x4+4x2-5
phan tich cac da thuc sau thanh nhan tu :
a,x\(^2\)y\(^3\)-\(\dfrac{1}{2}\)x\(^4\)y\(^8\)
Phân tich da thuc thanh nhan tu :
X^2-2xy+y^2+2x-2y
Bài 2 : rút gon
X^3+2x2y+xy^2 phần ( k viết dau gach ngang dc)x^2-y^2
Phan tich da thuc sau thanh nhan tu:
a) \(a\left(b+c\right)^2+b\left(c+a\right)^2+c\left(a+b\right)^2\)
b)\(a^4+b^4+c^4-2a^2b^2-2a^2c^2-2c^2b^2\)
phan tich thanh nhan tu \(x\sqrt{x}-3x+4\sqrt{x}-2\) voi x>0
phan tich da thuc A=(x-y)z^3+(y-z)x^3+(z-x)y^3