a) \(\left(-12x^{13}y^{15}+6x^{10}y^{14}\right):\left(-3x^{10}y^{14}\right)\)
\(=-12x^{13}y^{15}:-3x^{10}y^{14}+6x^{10}y^{14}:-3x^{10}y^{14}\)
\(=4x^3y-2\)
b) \(\left(x-y\right)\left(x^2-2x+y\right)-x^3+x^2y\)
\(=x^3-2x^2+xy-x^2y+2xy-y^2-x^3+x^2y\)
\(=-2x^2+3xy-y^2\)
a) (-12x^13y^15 + 6x^10y^14):(-3x^10y^14)= 4x^3y-2
b) (x-y)(x^2-2x+y)-x^3+x^2y= 2x^2 + xy + 2xy- y^2
a) b)
=4x3y - 2 = x3- y3 - x3 + x2y
= -y3 + x2y
a) \(-12x^{13}\)\(y^{15}\)+\(6x^{10}\)\(y^{14}\):\(-3x^{10}\)\(y^{14}\)
=\(-12x\)\(^{13}\)\(y^{15}\)\(:\)\(-3x^{10}y^{14}\)\(+6x^{10}y^{14}:-3x^{10}y^{14}\)
\(=4x^3y-2\)
b)\(=\left(x-y\right)x^2-2x+y-x^3+x^2y\)
\(=x^3-x^2y-2x+y-x^3+x^2y\)
\(=-2x+y\)
a)=4x^3y-2=2(2x^3y-1)
b)=(x-y)(x^2-2x+y)-x^2(x-y)=(x^2-2x+y-x^2)(x-y)=(-2x+y)(x-y)
a)
ta có:
\(\left(-12x^{13}y^{15}+6x^{10}y^{14}\right):\left(-3x^{10}y^{14}\right)=-3x^{10}y^{14}\left(4x^3y-3\right):\left(-3x^{10}y^{14}\right)=4x^3y-3\)
b)
\(\left(x-y\right)\left(x^2-2x+y\right)-x^3+x^2y\\ =x^3-2x^2-x^2y+3xy+y^2-x^3+x^2y\\ =-2x^2+3xy+y^2\)
