a)=3x.x3-3x.2x
=3x4-6x2
b)=\(\frac{2x-2y}{x-y}\)
=\(\frac{2\left(x-y\right)}{x-y}\)
=2
c)=\(\frac{x+15}{\left(x+3\right)\left(x-3\right)}-\frac{2}{x+3}\) MC:(x+3)(x-3)
=\(\frac{x+15}{\left(x+3\right)\left(x-3\right)}-\frac{2\left(x-3\right)}{\left(x+3\right)\left(x-3\right)}\)
=\(\frac{x+15-2x+6}{\left(x+3\right)\left(x-3\right)}\)=\(\frac{-x+21}{\left(x+3\right)\left(x-3\right)}=\frac{21-x}{\left(x+3\right)\left(x-3\right)}\)
Thực hiện phép tính sau:
a) \(\frac{3}{4xy}+\frac{5x}{2x^2z}+\frac{7}{6yz^2}\).
b) \(\frac{x^2}{x^2+3x}+\frac{3}{x+3}+\frac{3}{x}\).
Thực hiện phép tính sau:
\(\frac{xy}{x-y}-\frac{2x^2}{y-2x}\)
5,thực hiện phép tính
1,\(\frac{4y^2}{11x^4}.\left(-\frac{3x^2}{8y}\right)\)
2,\(\frac{4x^2}{5y^2}:\frac{6x}{5y}:\frac{2x}{3y}\)
3,\(\frac{x^2-4}{3x+12}.\frac{x+4}{2x-4}\)
4,\(\frac{5x+10}{4x-8}.\frac{4-2x}{x+2}\)
5,\(\frac{x^2-36}{2x+10}.\frac{3}{6-x}\)
6,\(\frac{x^2-9y^2}{x^2y^2}.\frac{3xy}{2x-6y}\)
7,\(\frac{3x^2-3y^2}{5xy}.\frac{15x^2y}{2y-2x}\)
6,Thực hiện phép tính
1,\(\frac{2a^3-2b^3}{3a+3b}.\frac{6a+6b}{a^2-2ab+b^2}\)
2,\(\frac{a^2+ab}{b-a}:\frac{a+b}{2a^2-2b^2}\)
3,\(\frac{x+y}{y-x}:\frac{x^2+xy}{3x^2-3y^2}\)
4,\(\frac{1-4x^2}{x^2+4x}:\frac{2-4x}{3x}\)
5,\(\frac{5x-15}{4x+4}:\frac{x^2-9}{x^2+2x+1}\)
6,\(\frac{6x+48}{7x-7}:\frac{x^2-64}{x^2-2x+1}\)
Rút gọn:
a) \(\frac{x^3+2x^2+1}{4x^2-4}.\frac{x+2}{x^2+1}.\frac{2x^2-2}{x^3+2x^2+1}\)
b)\(\frac{x^4-y^4}{x^2+y^2-2xy}.\frac{x-y}{xy+x^2}\)
c)\(\frac{x^2-9}{x+5}.\frac{2x}{x+3}+\frac{x^2-9}{x+5}.\frac{5-x}{x+3}\)
5,Thực hiện phép tính
1,\(\frac{3}{2x+6}-\frac{x-6}{2x^2+6x}\)
2,\(\frac{1}{1-x}+\frac{2x}{x^2-1}\)
3,\(\frac{1}{xy-x^2}-\frac{1}{y^2-xy}\)
4,\(\frac{5x+10}{4x-8}.\frac{4-2x}{x+2}\)
5,\(\frac{1-4x^2}{x^2+4x}:\frac{2-4x}{3x}\)
6,\(\frac{12x}{5y^3}.\frac{15y^4}{8x^3}\)
Bài 1. a) \(\frac{4x+1}{3x}+\frac{2x-3}{6x}\)
b)\(\frac{x^2-y^2}{6x^2y^2}:\frac{x+y}{3xy}\)
thực hiện các phép tính sau
a) \(\frac{x+1}{2x+6}+\frac{2x+3}{x^2+3x}\)
b) \(\frac{3}{2x+6}-\frac{x-6}{2x^2+6x}\)
c) \(\frac{5x+10}{4x-8}.\frac{4-2x}{x+2}\)
d) \(\frac{1-4x^2}{x^2+4x}:\frac{2-4x}{3x}\)
