\(a,17x^3y^2-34x^2y^2+51x^2y^3\)
\(=17x^2y^2\left(x-2+3y\right)\)
\(b,16x^2\left(x^2-y\right)-10y\left(y-x^2\right)\)
\(=16x^2\left(x^2-y\right)+10y\left(x^2-y\right)\)
\(=\left(x^2-y\right)\left(16x^2+10y\right)\)
\(=2\left(x^2-y\right)\left(8x^2+5y\right)\)
\(c,x^2+2xy+y^2-xz-yz\)
\(=\left(x^2+2xy+y^2\right)-\left(xz+yz\right)\)
\(=\left(x+y\right)^2-z\left(x+y\right)\)
\(=\left(x+y\right)\left(x+y-z\right)\)
\(d,64xy-96x^2y+48x^3y-8x^4y\)
\(=8xy\left(8-12x+6x^2-x^3\right)\)
\(=-8xy\left(x^3-6x^2+12x-8\right)\)
\(=-8xy\left(x-2\right)^3\)
a) 17 x3y2-34x2y2+51x2y3
= 17x2y2 ( x - 2 + 3y )
b) 16x2(x2-y)-10y(y-x2)
= 16x2( x2 - y ) + 10y ( x2 - y )
= (x2 - y ) (16x2 + 10y )
c)x2+2xy+y2-xz-yz
= ( x2 + 2xy + y2 ) - ( xz + yz )
= ( x + y )2 - z ( x + y )
= ( x + y ) ( x + y - z )
d)64xy-96x2y+48x3y-8x4y ( Bài này mình không chắc =)) )
= 8xy ( 8 - 12x + 6x2 - x3 )
