\(\left(x^2-y^2+6xy-9\right):\left(x-y+3\right)=\left[\left(x-y\right)^2-9\right]:\left(x-y+3\right)\)
\(=\left(x-y+3\right)\left(x-y-3\right):\left(x-y+3\right)=x-y-3\)
\(\left(x^2-y^2+6xy-9\right):\left(x-y+3\right)=\left[\left(x-y\right)^2-9\right]:\left(x-y+3\right)\)
\(=\left(x-y+3\right)\left(x-y-3\right):\left(x-y+3\right)=x-y-3\)
(x2-y2+6y-9)/(x-y+3)
Làm phép chia bằng cách áp dụng hằng đẳng thức:
a) \(\left(x^8-2x^4y^4+y^8\right):\left(x^2+y^2\right)\)
b) \(\left(64x^3+27\right):\left(16x^2-12x+9\right)\)
c) \(\left(x^3-9x^2+27x-27\right):\left(x^2-6x+9\right)\)
d) \(\left(x^3y^6z^9-1\right):\left(xy^2z^3-1\right)\)
\(\left(x^3+y^3\right)-2\left(x^2-y^2\right)+3\left(x+y\right)^2\) chia hết cho (x+y)
Làm tính chia
\(1.\left(6x^3-7x^2-x+2\right):\left(2x+2\right)\)
\(2.\left(x^2-y^2+6x-9\right):\left(x+y+3\right)\)
\(3.\left(x^4-x-14\right):\left(2x-5\right)\)
1. tìm Min , Max
a, A= x^2-1+1
b,B= 3x^2-5+7
c,C= -2x^2 - x +1
d= x^2 +y^2 -2x +6y +12
e, E= -2x^2 +x
f= x^2+5y^2 - 4xy +6x -14y+15
a,[2(y-x)^3-2(y-x)^2+(x-y)]:(y-x)
b,(2x-4y)^3:2(2y-x)
c,[(3(x-y)^3-6(y-x)^2+(x+y)]:(y-x)
CM: đa thức (x+y)6+(x-y)6 chia hết cho đa thức (x)2+(y)2
tính nhanh: a) (x^2 - 6xy + 9y^2) : ( 3 y - x)
b) (8x^3 - 1 ) : ( 4x^2 + 2x + 1)
c) ( 4x^4 - 9 ) : ( 2x^2 - 3 )
d) ( 8x^3 - 27 ) : ( 4x^2 + 6x + 9)
Áp dụng bằng hằng đẳng thức đáng nhớ để thực hiện phép chia :
a) \(\left(x^2+2xy+y^2\right):\left(x+y\right)\)
b) \(\left(125x^3+1\right):\left(5x+1\right)\)
c) \(\left(x^2-2xy+y^2\right):\left(y-x\right)\)