5xy+1/2xy=
thu gọn các đa thức sau
a, -x^2y-2xy+2x^2y+5xy+2
b, -2xy+3/2xy^2+1/2xy^2+xy
\(a,-x^2y-2xy+2x^2y+5xy+2\\ =x^2y+3xy+2\\ b,-2xy+\dfrac{3}{2}xy^2+\dfrac{1}{2}xy^2+xy\\ =-xy+2xy^2\)
(4^3-5xy+2x) (-1/2xy)
Sửa đề: (4x^3-5xy+2x)*(-1/2xy)
=-4x^3*1/2xy+5xy*1/2xy-2x*1/2xy
=-2x^4y+5/2x^2y^2-x^2y
\(\left(4^3-5xy+2x\right)\left(-\dfrac{1}{2}xy\right)\)
\(=\left(64-5xy+2x\right)\left(-\dfrac{1}{2}xy\right)\)
\(=\left(-\dfrac{1}{2}xy\cdot64\right)-\left(5xy\cdot-\dfrac{1}{2}xy\right)+\left(2x\cdot-\dfrac{1}{2}xy\right)\)
\(=-32xy+\dfrac{5}{2}x^2y^2-x^2y\)
3)ChoE=-1/2xy^3+4xy-9 và F=5xy+4-1/2xy^3TinhE+F;E-F;F-E
\(E=-\dfrac{1}{2}xy^3+4xy-9\)
\(F=5xy+4-\dfrac{1}{2}xy^3=-\dfrac{1}{2}xy^3+5xy+4\)
\(E+F=-\dfrac{1}{2}xy^3+4xy-9+\left(-\dfrac{1}{2}xy^3\right)+5xy+4\)
\(=-xy^3+9xy-5\)
\(E-F=-\dfrac{1}{2}xy^3+4xy-9-\left[\left(-\dfrac{1}{2}xy^3\right)+5xy+4\right]\)
\(=-\dfrac{1}{2}xy^3+4xy-9+\dfrac{1}{2}xy^3-5xy-4\)
\(=-xy-13\)
\(F-E=-\left(E-F\right)=-\left(-xy-13\right)\)
\(=xy+13\)
(4x^3-5xy+2x).(-1/2xy)
Cho đa thức A = \(-2xy^2+3xy+5xy^2+5xy+1\)
a) Thu gọn đa thức A
b) Tính giá trị của A khi x = \(\dfrac{-1}{2};y=-1\)
a.\(A=3xy^2+8xy+1\)
b.Thế `x=-1/2;y=-1` vào `A` ta được:
\(A=3.\left(-\dfrac{1}{2}\right).\left(-1\right)^2+8.\left(-\dfrac{1}{2}\right).\left(-1\right)+1\)
\(A=-\dfrac{3}{2}+4+1\)
\(A=\dfrac{-3+10}{2}\)
\(A=\dfrac{7}{2}\)
a: \(A=\left(-2xy^2+5xy^2\right)+\left(3xy+5xy\right)+1=3xy^2+8xy+1\)
b: Khi x=-1/2 và y=-1 thì \(A=3\cdot\dfrac{-1}{2}\cdot1+8\cdot\dfrac{-1}{2}\cdot\left(-1\right)+1\)
\(=-\dfrac{3}{2}+4+1=5-\dfrac{3}{2}=\dfrac{7}{2}\)
C=2x2-2xy+x2+5xy-x2-\(\dfrac{1}{2}\)x3
C=2x2 + x2-2xy+5xy-\(\dfrac{1}{2}\)x3
C=3x2+3xy-\(\dfrac{1}{2}\)x3
a) 3x(x+1)-x(3x+2)
b) 2x(x2-5x+6)+(x-1)(x+3)
c) (x2-xy+y2)-(x2+2xy+y2)
d) (2/5xy+x-y)-(3x+4y)-2/5xy
e) 2xy(x2-4xy+4y2)
f) (x+y)(xy+5)
g) (x3-2x2-x+2):(x-1)
h) (2x2+3x-2):(2x-1)
Thu gọn đa thức:
x3 - 5xy + 3x3 + xy - x2 + 1/2xy - x2
( x3 + 3x3) + ( - 5xy + 1/2xy + xy ) - x2
= 4x3 -7/2xy - x2
Cho P(x)=x2-2xy+1 và Q(x)=4x2+3xy-1.Khi đó,P(x) + Q(x) bằng
A,3x2-5xy+1
B,5x2+xy
C,5x2+xy+1
D,5x2-5xy
5xy^2+2xy-3xy^2 tại x=-2,y=-1
thay x = -2 , y = -1 vào đa thức 5xy2 + 2xy - 3xy2 có:
5 . (-2) . (-1)2 + 2 . (-2) . (-1) - 3 .(-2) . (-1)2
=5 . (-2) . 1 + 2 .2 - 3 .(-2) .1
=-10 + 4 - (-6)
= -10 + 4 + 6
= 0
Thay x = -2; y = -1 vào đa thức trên ta đc :
\(5\left(-2\right)\left(-1\right)^2+2\left(-2\right)\left(-1\right)^2-3\left(-2\right)\left(-1\right)^2\)
\(=-10-4+6=-8\)