a) \(\frac{2x-7}{10x-4}-\frac{3x+5}{4-10x}\)

\(=\frac{2x-7}{10x-4}-\frac{-\left(3x+5\right)}{-\left(4-10x\right)}\)

\(=\frac{2x-7}{10x-4}-\frac{5-3x}{10x-4}\)

\(=\frac{2x-7-\left(5-3x\right)}{10x-4}\)

\(=\frac{2x-7-5+3x}{10x-4}\)

\(=\frac{5x-12}{10x-4}\)

\(\frac{2x^2-11x}{2xy}+\frac{5y-x}{y}+\frac{x+2y}{x}\)

\(=\frac{2x^2-11x+\left(5y-x\right)2x+\left(x+2y\right)2y}{2xy}\)

\(=\frac{2x^2-11x+10xy-2x^2+2xy+4y^2}{2xy}=\frac{12xy-11x+4y^2}{2xy}\)

Ta có:  MTC=36

Quy đồng 

\(x=\frac{x.36}{36}\)

\(\frac{1-2x}{9}=\frac{\left(1-2x\right).4}{36}\)

\(\frac{3x-2}{12}=\frac{\left(3x-2\right).3}{36}\)

Ta có

:\(\frac{36x+4-8x+9x-6}{36}=\frac{37x-2}{36}\)

a) 3x²y³+x²y³=4x²y³

b)5x²y-1/2x²y=10/2x²y-1/2x²y=9/2x²y

c) \(\frac{3}{4}xyz^2+\frac{1}{2}xyz^2-\frac{1}{4}xyz^2\)

\(=\frac{3}{4}xyz^2+\frac{2}{4}xyz^2-\frac{1}{4}xyz^2\)

\(=\frac{5}{4}xyz^2-\frac{1}{4}xyz^2\)

\(=\frac{4}{4}xyz^2=xyz^2\)

\(a,3x^2y^3+x^2y^3=4x^2y^3\)

\(b,5x^2y-\frac{1}{2}x^2y=\frac{9}{2}x^2y\)

\(c,\frac{3}{4}xyz^2+\frac{1}{2}xyz^2-\frac{1}{4}xyz^2=\left(\frac{3}{4}xyz^2-\frac{1}{4}xyz^2\right)+\frac{1}{2}xyz^2=\frac{2}{4}xyz^2+\frac{1}{2}xyz^2=xyz^2\)

a,\(3x^2y^3+x^2y^3=\left(3+1\right)x^2y^3=4x^2y^3\)

b,\(5x^2y-\frac{1}{2}x^2y=\left(5-\frac{1}{2}\right)x^2y=\frac{9}{2}x^2y\)

c,\(\frac{3}{4}xyz^2+\frac{1}{2}xyz^2-\frac{1}{4}xyz^2=\left(\frac{3}{4}+\frac{1}{2}-\frac{1}{4}\right)xyz^2=xyz^2\)

\(\frac{5x^2+y^2}{xy}-\frac{3x-2y}{xy}\)

\(=\frac{5x^2+y^2-3x-2y}{xy}\)

Tham khảo nhé~

\(\frac{3}{4xy}+\frac{5x}{2y^2z}+\frac{7}{6yz^2}\)

\(=\frac{9yz^2}{12xy^2z^2}+\frac{30x^2z}{12xy^2z^2}+\frac{14xy}{12xy^2z^2}\)

\(=\frac{9yz^2+30x^2z+14xy}{12xy^2z^2}\)

an có 10000000 quả cam an cho mẹ gấp đôi rồi an co ba số quả lớn hơn mẹ 200 vậy an còn bao nhiêu quả cam

a) \(\frac{5x-1}{3x^2y}+\frac{x-1}{3x^2y}=\frac{5x-1+x-1}{3x^2y}=\frac{6x}{3x^2y}=\frac{2}{xy}\)

b) \(\frac{7}{12xy^2}+\frac{11}{18x^3y}=\frac{7\left(\frac{3}{2}x^2\right)}{18x^3y^2}+\frac{11y}{18x^3y^2}=\frac{10,5x^2+11y}{18x^3y^2}\)

c) \(\frac{x}{x+2}+\frac{7x-16}{\left(x+2\right)\left(4x-7\right)}=\frac{x\left(4x-7\right)}{\left(x+2\right)\left(4x-7\right)}+\frac{7x-16}{\left(x+2\right)\left(4x-7\right)}\)

\(=\frac{4x^2-7x+7x-16}{\left(x+2\right)\left(4x-7\right)}=\frac{4x^2-16}{\left(x+2\right)\left(4x-7\right)}\)

a) \(\frac{5x-1}{3x^2y}+\frac{x+1}{3x^2y}=\frac{5x-1+x+1}{3x^2y}=\frac{6x}{3x^2y}=\frac{2}{xy}\)

b) \(\frac{7}{12xy^2}+\frac{11}{18x^3y}=\frac{7x^2.18+11.12y}{12x^3y^2.18}=\frac{126x^2+132y}{216x^3y^2}=\frac{6\left(21x^2+22y\right)}{216x^3y^2}=\frac{21x^2+22y}{36x^3y^2}\)

c) \(\frac{x}{x+2}+\frac{7x-16}{\left(x+2\right)\left(4x-7\right)}=\frac{x\left(4x-7\right)+7x-16}{\left(x+2\right)\left(4x-7\right)}=\frac{4x^2-7x+7x-16}{\left(x+2\right)\left(4x-7\right)}\)

\(=\frac{4x^2-16}{\left(x+2\right)\left(4x-7\right)}=\frac{4\left(x^2-4\right)}{\left(x+2\right)\left(4x-7\right)}=\frac{4\left(x-2\right)\left(x+2\right)}{\left(x+2\right)\left(4x-7\right)}=\frac{4\left(x-2\right)}{4x-7}\)