Phan tich da thic thanh nhan tu
(x-3)2-(x-3)(x2+3x+9)
phan tich da thuc thanh nhan tu 1-3x-x^3+3x^2
\(1-3x-x^3+3x^2\)\(=\left(1-x^3\right)+\left(3x^2-3x\right)\)
\(=\left(1-x\right)\left(x^2+x+1\right)+3x\left(x-1\right)\)
\(=\left(x-1\right)\left(3x-x^2-x-1\right)=\left(x-1\right)\left(2x-x^2-1\right)\)
X^9+x^3+x^2+x+1 phan tich da thuc thanh nhan tu
Phan tich da thuc thanh nhan tu:
x^3 - x + 3x^2y + 3xy^2 + y^3 - y
x^2 + 5x - 6
x^3 - x + 3x^2y + 3xy^2 + y^3 - y
=x3+y3+3x2y+3xy2-x-y
=(x+y)(x2-xy+y2)+3xy(x+y)-(x+y)
=(x+y)(x2-xy+y2+3xy-1)
=(x+y)(x2+2xy+y2-1)
=(x+y)[(x+y)2-1]
=(x+y)(x+y-1)(x+y+1)
x^2 + 5x - 6
=x2-x+6x-6
=x.(x-1)+6.(x-1)
=(x-1)(x+6)
phan tich da thuc thanh nhan tu
x3-3x2-3x+1
x3-3x2-3x+1=x3+1-3x2-3x
=(x+1)(x2-x+1)-3x(x+1)
=(x+1)(x2-x+1-3x)
=(x+1)(x2-4x+1)
phan tich da thuc thanh nhan tu :x^5+2x^4+3x^3+2x^2+2x+1
x^5+2x^4+2x^3+2x^2+2x+1
=(x^5+x^4)+(x^4+x^3)+(x^3+x^2)+(x^2+x)+(x+1)
=x^4(x+1)+x^3(x+1)+x^2(x+1)+x(x+1)+(x+1)
=(x+1)(x^4+x^3+x^2+x+1)
tim x bang cach phan tich da thuc thanh nhan tu
x3-3x2+3x-1=0
\(x^3-3x^2+3x-1\) =0
=>\(\left(x-1\right)^3\)=0
=>x-1=0
=>x=1
vậy x =1
\(x^3-3x^2+3x-1=0\)
\(\Leftrightarrow\left(x-1\right)^3\)
\(\Leftrightarrow x-1=0\)
\(\Leftrightarrow x=1\)
phan tich da thuc thanh nhan tu(x^2+X)+3(x^2+x)+2
phan tich da thuc thanh nhan tu
(x-2)2(2x-5)(2x-3)-9
Phan tich da thuc thanh nhan tu
1) (2x+1)^2 - (x-1)^2
2) 9(x+3)^2 - 4(x-2)^2
3) 25(2x - y) ^2 - 16(x+2y)^2
4) x^4 + x^3 +x + 1
5) x^3 + 3x^2 + 3x + 1 -8y^3