\(x^2+y^2+2xy=37+2.6=49\Rightarrow x+y=\pm7\Rightarrow\left(x+y\right)\left(x^2-xy+y^2\right)=31\left(x+y\right)=\pm217\)
\(x^2+y^2+2xy=37+2.6=49\Rightarrow x+y=\pm7\Rightarrow\left(x+y\right)\left(x^2-xy+y^2\right)=31\left(x+y\right)=\pm217\)
Bài 3 ( 3đ) : Thực hiện phép tính
\(\dfrac{y}{x-y}-\dfrac{x^3-xy^2}{x^2+y^2}.\left(\dfrac{x}{x^2-2xy+y^2}-\dfrac{y}{x^2-y^2}\right)\)
a)cho x2+y2=15vaf x.y=6. Tính x4+y4
b) Tìm hai số x,y biết x3+y3=4021(x2-xy+y2)và x-y=1
CMR:
a/(x2-xy+y2) (x+y)=x3+y3
b/(x2+xy+y2) (x-y)=x3-y3
giúp mk mình cần gấp lắm
a,\(\dfrac{x^2+y^2-xy}{x^2-y^2}:\dfrac{x^3+y^3}{x^2+y^2-2xy}\)
b,\(\dfrac{x^3y+xy^3}{x^4y}:\left(x^2+y^2\right)\)
c,\(\dfrac{x^2-xy}{y}:\dfrac{x^2-xy}{xy+y}:\dfrac{x^2-1}{x^2+y}\)
d,\(\dfrac{x^2+y}{y}:\left(\dfrac{z}{x^2}:\dfrac{xy}{x^2y}\right)\)
e,\(\dfrac{x^2+1}{x}:\dfrac{x^2+1}{x-1}:\dfrac{x^3-1}{x^2+x}:\dfrac{x^2+2x+1}{x^2+x+1}\)
g,\(\left(\dfrac{z}{x^2}:\dfrac{xy}{x^2y}\right)\dfrac{x^2+y}{y}\)
Giải: \(\left\{{}\begin{matrix}x+y+xy=2+3\sqrt{2}\\x^2+y^2=6\end{matrix}\right.\)
Thực hiện phép tính (các bạn ơi giúp mình nhé :((( mai mình thi rồi)
1/ 4x2 . (5x3 + 2x - 1)
2/ 4x3y2 : x2
3/ (15x2y3 - 10x3y3 + 6xy) : 5xy
4/ (5x3 + 14x2 + 12x + 8) : (x + 2)
5/ 7/2x + 11/3y2
6/ x/x+2 + 3/(x+2)(4x-7)
7/ 3/x-y - 2x2/x+y
8/ (1/2) x2y2 . (2x+y) (2x-y)
9/ (x-1/2) (x+1/2) (4x-1)
10/ 3x/2x+6 + 6-x/2x2+6x
11/ x2-1/2x-2 + 3x+3/1-x2
12/ x2/x2-y2 - xy/x2-y2
13/ 2/2x-3 + x/x-1 - 5x+3/2x2+3-5x
15/ (x-y) (x2+xy+y2) + 2y3 : y3
Rút gọn biểu thức:
a) (3-xy2)2 - (2+xy2)2
b) 9x2 - (3x-4)2
c) (a-b2)(a+b2)
d) (a2 + 2a+3)(a2 + 2a-3)
e) (x-y+6)(x+y-6)
f) (y+2z-3)(y-2z-3)
2 Làm tính chia
a) (4x^6-3x^4+x):(-1/2x) ; b)( 2/3x^2y-7xy+x^3y^2) : (-xy)
c) \(_[\)7(x-y)^4+4(x-y)^3\(]\):(y-x)^2 ; d) 6(x-3y)^4:(5x-15y)
e) (x^3+27y^3):2(x+3y)