\(\dfrac{1}{2}x.\dfrac{1}{4}x^2.\dfrac{x^3}{8}.2y.4y-8y^3=x.x^2.x^3.y.y.\dfrac{2.4}{2.4.8}-8y^3\\ =x^6.y^2.\dfrac{1}{8}-8y^3\)
\(=\dfrac{1}{2}\cdot\dfrac{1}{4}\cdot\dfrac{1}{8}\cdot x^3\cdot x^3\cdot8y^2-8y^3\)
\(=\dfrac{1}{8}x^6y^2-8y^3\)
\(\dfrac{1}{2}x.\dfrac{1}{4}x^2.\dfrac{x^3}{8}.2y.4y-8y^3=x.x^2.x^3.y.y.\dfrac{2.4}{2.4.8}-8y^3\\ =x^6.y^2.\dfrac{1}{8}-8y^3\)
\(=\dfrac{1}{2}\cdot\dfrac{1}{4}\cdot\dfrac{1}{8}\cdot x^3\cdot x^3\cdot8y^2-8y^3\)
\(=\dfrac{1}{8}x^6y^2-8y^3\)
BT10: Thực hiện phép tính
\(a,-xyz^2\)\(-3xz.yz\)
\(b,-8x^2\)\(y-x.\left(xy\right)\)
\(c,4xy^2\) \(.x-\left(-12x^2y^2\right)\)
\(d,\dfrac{1}{2}x^2y^3-\dfrac{1}{3}x^2y.y^2\)
\(e,3xy\left(x^2y\right)-\dfrac{5}{6}x^3y^2\)
\(f,\dfrac{3}{4}x^4y-\dfrac{1}{6}xy.x^3\)
1.Tính \(\dfrac{x}{x+2}-\dfrac{x}{x-2}\)
2.Phân tích đa thức thành nhân tử
1)\(\left(x^2y^2-8\right)-1\)
2)\(x^3y-2x^2y+xy-xy^3\)
3)\(x^3-2x^2y+xy^2\)
4)\(x^2+2x-y^2+1\)
5)\(x^2+2x-4y^2+1\)
6)\(x^2-6x-y^2+9\)
Mọi người giải nhanh bài này giúp mình với, mình sắp phải nộp bài rồi😓
Thực hiện phép tính sau:
1. \(\dfrac{2x+6}{3x^2-x}:\dfrac{x^2+3x}{1-3x}\)
2. \(\dfrac{x}{x-2y}+\dfrac{x}{x+2y}+\dfrac{4xy}{4y^2-x^2}\)
3. \(\dfrac{1}{3x-2}-\dfrac{1}{3x+2}-\dfrac{3x-6}{4-9x^2}\)
4.\(\dfrac{x+3}{x+1}+\dfrac{2x-1}{x-1}+\dfrac{x+5}{x^2-1}\)
Tính
a, \(\dfrac{x}{2y^2-xy}+\dfrac{4y}{x^2-2xy}\)
b, \(\dfrac{x+1}{2x-2}+\dfrac{-2x^2+3}{3x^2-3}\)
c,\(\dfrac{x^2+4x+4}{x^2-10xy+25y^2}.\dfrac{x^2-25y^2}{x^2-4}\)
tối giản biểu thức sau:
a)f(x,y)=\(( \dfrac 1 3 .x+2y)( \dfrac 1 9 x^2 - \dfrac 2 3 xy + 4y^2)\)
b)f(x)=\((x^2-\dfrac 13)(x^4+\dfrac 13x^2+\dfrac 19)\)
( sử dụng các hằng đẳng thức đáng nhớ)
Thực hiện phép tính:
a) \(\dfrac{x+2y}{xy}\div\dfrac{x^2+4xy+4y^2}{2x^2}\)
b) \(\dfrac{4x^3-xy^2}{x^2+xy+y^2}\div\dfrac{\left(2x-y\right)^3}{x^3-y^3}\)
c) \(\dfrac{x+3}{x+2}\div\dfrac{3x+9}{2x-1}\div\dfrac{4x-2}{2x+4}\)
d) \(\dfrac{x+1}{x+2}\div\left(\dfrac{2x^2}{2x-3}\times\dfrac{3x+3}{4x^3}\right)\)
phân tích đa thức \(\dfrac{1}{2}x^2-2y^2\) thành nhân tử
a. \(\dfrac{1}{2}x^2-2y^2=\dfrac{1}{2}\left(x^2-4y^2\right)=\dfrac{1}{2}\left(x-2y\right)\left(x+2y\right)\)
b. \(\dfrac{1}{2}x^2-2y^2=2\left(\dfrac{1}{4}x^2-y^2\right)=2\left(\dfrac{1}{2}x-y\right)\left(\dfrac{1}{2}x+y\right)\)
Cách phân tích nào đúng, a hay b ?
BT10: Thực hiện phép tính
\(a,\dfrac{4}{5}y^2x^5-x^3.x^2y^2\)
\(b,-xy^3-\dfrac{2}{7}y^2.xy\)
\(c,\dfrac{5}{6}xy^2z-\dfrac{1}{4}xyz.y\)
\(d,15x^4+7x^4-20x^2.x^2\)
\(e,\dfrac{1}{2}x^5y-\dfrac{3}{4}x^5y+xy.x^4\)
\(f,13x^2y^5-2x^2y^5+x^6\)
A = \(\dfrac{5xy^2-3z}{3xy}+\dfrac{4x^2y+3z}{3xy}\)
B = \(\dfrac{3y+5}{y-1}+\dfrac{-y^2-4y}{1-y}+\dfrac{y^2+y+7}{y-1}\)
C = \(\dfrac{6x}{x^2-9}+\dfrac{5x}{x-3}+\dfrac{x}{x+3}\)
D = \(\dfrac{1-3x}{2x}+\dfrac{3x-2}{2x-1}+\dfrac{3x-2}{2x-4x^2}\)
E = \(\dfrac{x^3+2x}{x^3+1}+\dfrac{2x}{x^2-x+1}+\dfrac{1}{x+1}\)