\(\frac{8x^2}{5x-2}.\frac{2y-5xy}{4x^3}\)
Kquả của phép nhân 2xy(3x^2+4x-3y)là: A. 5x^3y+6x^2y-5xy^2 B.5x^3y+6x^2y+5xy^2 C.6x^3y+8x^2y-6xy^2 D.6x^3y+8x^2y+6xy^2
Bài 1: Thực hiện phép tính
a. \(\frac{11x+10}{3x-3}+\frac{15x+13}{4-4x}\)
b. \(\frac{5x+3}{x^2-3x}+\frac{9-x}{9-3x}\)
c. \(\frac{4xy-1}{5x^2y}-\frac{2xy-1}{5x^2y}\)
d. \(\frac{x+8}{x^2-16}-\frac{2}{x^2+4x}\)
e. \(\frac{x^2-49}{2x+1}.\frac{3}{7-x}\)
f. \(\frac{3x^2-2x}{x^2-1}.\frac{1-x^4}{\left(2-3x\right)^3}\)
g. \(\frac{5xy}{2x-3}:\frac{15xy^3}{12-8x}\)
h. \(\frac{x^2+2x}{3x^2-6x+3}:\frac{2x+4}{5x-5}\)
Các ĐKXĐ: bạn tự tìm
a)
\(\frac{11x+10}{3x-3}+\frac{15x+13}{4-4x}=\frac{11x+10}{3(x-1)}-\frac{15x+13}{4(x-1)}=\frac{4(11x+10)-3(15x+13)}{12(x-1)}\)
\(=\frac{-x+1}{12(x-1)}=\frac{-(x-1)}{12(x-1)}=\frac{-1}{12}\)
b)
\(\frac{5x+3}{x^2-3x}+\frac{9-x}{9-3x}=\frac{5x+3}{x(x-3)}+\frac{x-9}{3x-9}=\frac{5x+3}{x(x-3)}+\frac{x-9}{3(x-3)}\)
\(=\frac{3(5x+3)}{3x(x-3)}+\frac{x(x-9)}{3x(x-3)}=\frac{x^2+6x+9}{3x(x-3)}=\frac{(x+3)^2}{3x(x-3)}\)
c)
\(\frac{4xy-1}{5x^2y}-\frac{2xy-1}{5x^2y}=\frac{(4xy-1)-(2xy-1)}{5x^2y}=\frac{2xy}{5x^2y}=\frac{2}{5x}\)
d)
$\frac{x+8}{x^2-16}-\frac{2}{x^2+4x}=\frac{x+8}{(x-4)(x+4)}-\frac{2}{x(x+4)}$
$=\frac{x(x+8)}{x(x-4)(x+4)}-\frac{2(x-4)}{x(x+4)(x-4)}$
$=\frac{x^2+8x-2(x-4)}{x(x+4)(x-4)}=\frac{x^2+6x+8}{x(x+4)(x-4)}$
$=\frac{(x+2)(x+4)}{x(x+4)(x-4)}=\frac{x+2}{x(x-4)}$
e)
$\frac{x^2-49}{2x+1}.\frac{3}{7-x}=\frac{(x-7)(x+7)}{2x+1}.\frac{-3}{x-7}$
$=\frac{-3(x+7)}{2x+1}$
f)
$\frac{3x^2-2x}{x^2-1}.\frac{1-x^4}{(2-3x)^3}$
$=\frac{2x-3x^2}{x^2-1}.\frac{x^4-1}{(2-3x)^3}=\frac{x(2-3x)(x^2-1)(x^2+1)}{(x^2-1)(2-3x)^3}$
$=\frac{x(x^2+1)}{(2-3x)^2}$
g)
$\frac{5xy}{2x-3}:\frac{15xy^3}{12-8x}=\frac{5xy}{2x-3}.\frac{12-8x}{15xy^3}$
$=\frac{5xy}{2x-3}.\frac{-4(2x-3)}{15xy^3}=\frac{-4}{3y^2}$
h)
$\frac{x^2+2x}{3x^2-6x+3}:\frac{2x+4}{5x-5}=\frac{x(x+2)}{3(x-1)^2}:\frac{2(x+2)}{5(x-1)}$
$=\frac{x(x+2)}{3(x-1)^2}.\frac{5(x-1)}{2(x+2)}$
$=\frac{5x}{6(x-1)}$
Bài 1: Thực hiện các phép tính sau
a.\(\frac{11x+10}{3x-3}+\frac{15x+13}{4-4x}\)
b.\(\frac{5x+3}{x^2-3x}+\frac{9-x}{9-3x}\)
c.\(\frac{4xy-1}{5x^2y}-\frac{2xy-1}{5x^2y}\)
d.\(\frac{x+8}{x^2-16}-\frac{2}{x^2+4x}\)
e.\(\frac{x^2-49}{2x+1}.\frac{3}{7-x}\)
f.\(\frac{3x^2-2x}{x^2-1}.\frac{1-x^4}{\left(2-3x\right)^3}\)
g.\(\frac{5xy}{2x-3}:\frac{15xy^3}{12-8x}\)
h.\(\frac{x^2+2x}{3x^2-6x+3}:\frac{2x+4}{5x-5}\)
1/ Làm tính nhân
A/ (5x^2 - 2xy^2 + y^2) . ( -x^3 -2x^2y+5xy^2)
B/ (2x -y ) .( 4x^2 + 2xy +y^2) . ( 8x^3 + y^3)
lớp 12 bạn
\(\frac{4}{-25x^2+20x-3}=\frac{3}{5x-1}-\frac{2}{5x-3}\)
\(\frac{1}{x^2-3x+2}+\frac{1}{x^2-5x+6}-\frac{2}{x^2-4x+3}=0\)
\(\frac{x-1}{2x^2-4x}-\frac{7}{8x}=\frac{5-x}{4x^2-8x}-\frac{1}{8x-16}\)
\(\frac{1}{x^2+9x+20}+\frac{1}{x^2+11x+30}+\frac{1}{x^2+13x+42}=\frac{1}{18}\)
Hãy thu gọn đa thức yeahhhhh
\(5x^2y-3xy+\frac{1}{2}x^2y-xy+5xy-\frac{1}{3}x+\frac{1}{2}+\frac{2}{3}x-\frac{1}{4}\)
\(5x^2y-3xy+\frac{1}{2}x^2y-xy+5xy-\frac{1}{3}x+\frac{1}{2}+\frac{2}{3}x-\frac{1}{4}\)
\(=\left(5x^2y+\frac{1}{2}x^2y\right)+\left(-3xy-xy+5xy\right)+\left(-\frac{1}{2}x+\frac{2}{3}x\right)+\left(\frac{1}{2}-\frac{1}{4}\right)\)
\(=\frac{11}{2}x^2y+xy+\frac{1}{6}x+\frac{1}{2}\)
thực hiện phép tính a) 3x^2(5x^2-4x+3)
b)-5xy(3x^2y-5xy+y^2)
c)(5x^2-4x)(x-3)
d)(x-3)(x^2+4x-1)
a: \(=15x^4-12x^3+9x^2\)
c: \(=5x^3-15x^2-4x^2+12x\)
\(=5x^3-19x^2+12x\)
Thu gọn đơn thức sau :
\(Q=5x^2y-3xy+\frac{1}{2}x^2y-xy+5xy-\frac{1}{3}x+\frac{1}{2}+\frac{2}{3}x-\frac{1}{4}\)
\(Q=\left(5x^2y+\frac{1}{2}x^2y\right)+\left(-3xy-xy+5xy\right)+\left(-\frac{1}{3}x+\frac{2}{3}x\right)+\left(\frac{1}{2}-\frac{1}{4}\right)\)
\(Q=\frac{11}{2}x^2y+xy+\frac{1}{3}x+\frac{1}{4}\)
$\frac{4x+3}{5}$ -$\frac{6x-2}{7}$ =$\frac{5x+4}{3}$ +3
b.
$\frac{x+4}{5}$ -x+4=$\frac{x}{3}$ -$\frac{x-2}{2}$
c.$\frac{5x+2}{6}$ -$\frac{8x-1}{3}$ =$\frac{4x+2}{5}$ -5
d.$\frac{2x+3}{3}$ =$\frac{5-4}{2}$
e. $\frac{5x+3}{12}$ =$\frac{1+2x}{9}$
f.$\frac{7x-1}{6}$ =$\frac{16-x}{5}$
g. $\frac{x-3}{5}$ =6-$\frac{1-2x}{3}$
h. $\frac{3x-2}{6}$ -5=$\frac{3-2(x+7)}{4}$
giúp vs ạ, cần gấp
d: =>4x+6=15x-12
=>4x-15x=-12-6=-18
=>-11x=-18
hay x=18/11
e: =>\(45x+27=12+24x\)
=>21x=-15
hay x=-5/7
f: =>35x-5=96-6x
=>41x=101
hay x=101/41
g: =>3(x-3)=90-5(1-2x)
=>3x-9=90-5+10x
=>3x-9=10x+85
=>-7x=94
hay x=-94/7