\(x^4-5x^3+6x^2=x^2\left(x^2-5x+6\right)=x^2\left(x-2\right)\left(x-3\right)\)
\(9x^4+y^4=\left(9x^4+y^4+6x^2y^2\right)-6x^2y^2=\left(3x^2+y^2\right)-\left(\sqrt{6}xy\right)\)
\(=\left(3x^2+y^2-\sqrt{6}xy\right)\left(3x^2+y^2+\sqrt{6}xy\right)\)
\(x^4-5x^3+6x^2=x^2\left(x^2-5x+6\right)=x^2\left(x-2\right)\left(x-3\right)\)
\(9x^4+y^4=\left(9x^4+y^4+6x^2y^2\right)-6x^2y^2=\left(3x^2+y^2\right)-\left(\sqrt{6}xy\right)\)
\(=\left(3x^2+y^2-\sqrt{6}xy\right)\left(3x^2+y^2+\sqrt{6}xy\right)\)
1) Phan tich da thuc sau thanh nhan tu: x2-x-2008.2009
2) Chung minh rang voi moi x,y,z ta luon co: x2+4y2+z2>=2x+12y+4z
3) Cho a-b=4. Tinh gia tri cua bieu thuc: a3-12ab-b3
cac ban lam duoc cau nao thi giup mik nha. mik dang can gap lam
phan tich cac da thuc sau thanh nhan tu a)x^2+4x+3 b) 4x^2+4x-3 c) x^2-x-12 d)4x^4+4x^2y^2-8y^4
phan tich da thuc sau thanh nhan tu
x^3+3x^2+4x+2
6x^4-x^3-7x^2+x+1
giup minh nhe cam on nhieu
phan tich da thuc sau thanh nhan tu : x^4 - 6x^3 + 54x - 81
phan tich da thuc thanh nhan tu
a) x^3+x+2
b) x^3+3x^2-4
c) x^4+x^3+6x^2+5x+5
x^4+x^3-9x^2+10x-8 phan tich da thuc thanh nhan tu
phan tich da thuc sau thanh nhan tu
xy(x+y) + yz(y+z) + xz(x+z) + 2xyz
tinh gia tri bieu thuc
3(x-3)(x+7) + (x-4)2 + 48 tai x = 0,5
chung minh rang
x2 - 6x + 10 >0 voi moi x
4x - x2 - 5 <0 voi moi x
phan tich cac da thuc sau thanh nhan tu:
(x+1).(x+2).(x+3).(x+4)-24
phan tich da thuc thanh nhan tu : a) 3x^2 - 22xy + 4x + 8y + 7x^2 + 1 ; b) 12x^2 + 5x - 12y^2 + 12y - 10xy - 3 ; c)x^4 + 6x^3 + 11x^2 + 6x + 1
bai 166 a) 6x^2 -11x +3 phan tich cac da thuc sau thanh nhan tu
b) 2x^+3x-27
c) 2x^2-5xy-3y^2
bai 167 a) x^3+2x-3 b) x^3-7x+6 c)x^3 +5x^2 +8x +4 d) x^3 -9x^2 +6x +16
e)x^3-x^2-x-2 g ) x^3+x^2-x+2 h)x^3 -6x^2-x+30
bai 169 a) 27x^3-27x^2 +18x-4
b)2x^3-x^2+5x+3
c)(x^2-3)^2+16