a, \(x^3-x+3x^2y+3xy^2+y^3-y\)
= \((x^3+3x^2y+3xy^2+y^3)-x-y\)
= \(\left(x+y\right)^3-\left(x+y\right)\)
= \(\left(x+y\right)\left[\left(x+y\right)^2-1\right]\)
= \(\left(x+y\right)\left(x+y-1\right)\left(x+y+1\right)\)
Phan tich da da thuc thanh nhan phan tu
(x^2+x+1)(x^2+x+2)-12
phan tich da thuc sau thanh nhan tu bang nhom hang tu x\(^2\) -(a+b).x+ab
ax-2x-a\(^2\) +2a
phan tich da thuc thanh nhan tu ;
\(3x^2-3y^2-2\left(x-y\right)^2\)
phan tich da thuc thanh nhan tu :
\(3x^2-3y^2-2\left(x-y\right)^2\)
1) Tìm x, y, z
a) 9x2 +y2 + 2z2 – 18x +4z – 6y +20 = 0
b) 5x2 +5y2 +8xy+2y – 2x+2 = 0
c) 5x2 +2y2 + 4xy – 2x + 4y +5 = 0
d) x2 + 4y2 + z2 =2x + 12y – 4z – 14
e) x2 +y2 – 6x + 4y +2= 0
2) Phân tích đa thức thành nhân tử
a) 3xy2 – 3x3 – 6xy +3x
b) 3x2 + 11x + 6
c) –x3 – 4xy2 + 4x2y +16x
d) xz – x2 – yz +2xy – y2
e) 4x2 – y2 – 6x + 3y
f) X4 – x3 – 10x2 + 2x +4
g) (x3 – x2 + x)(121 – 25y2 – 10y) – (x3 – x2 + x) – (121 – 25y2 – 10y) +1
h) X4 – 14x3 + 71x2 – 154x + 120
Giúp mik với mik đang cần rất gấp ạ!!!
Phan tich cac da thuc thanh nhan tu:
x3- 2x2 - x + 2
x2 + 6x - y2 + 9
phan tich da thuc sau thanh nhan tu bang canh nhom hang tu x\(^3\) -2x\(^2\) +2x-13
Bài 1: Phân tích đa thức thành nhân tử
a) a/ x2 – 2x
b) 2bx – 3ay – 6by + ax
c) x3 +2x2y + xy2 – 4x
d) 4 - x2 – 2xy – y2
đ) 5x2 + 3(x + y)2 – 5y2
e/ 6x2y – 9x
b/ 4x3 – 4x2y + xy2 – 16 x
f) x2 + (2x +y)y – z2
phan tich da thuc thanh nhan tu :
a,(x-5)^2+(x-5)(x+5)-(5-x)(2x+1)
b,\(\left(3x-2\right)\left(4x-3\right)-\left(2-3x\right)\left(x-1\right)-2\left(3x-2\right)\left(x+1\right)\)