\(a,\dfrac{7x-1}{2x^2+6x}=\dfrac{\left(7x-1\right)\left(x-3\right)}{2x\left(x+3\right)\left(x-3\right)}=\dfrac{7x^2-22x+3}{2x\left(x-3\right)\left(x+3\right)}\\ \dfrac{5-3x}{x^2-9}=\dfrac{2x\left(5-3x\right)}{2x\left(x-3\right)\left(x+3\right)}=\dfrac{10x-6x^2}{2x\left(x-3\right)\left(x+3\right)}\)

\(a,[(2\cdot x-11):3+1]\cdot5=20\\\Rightarrow (2x-11):3+1=20:5\\\Rightarrow (2x-11):3+1=4\\\Rightarrow (2x-11):3=4-1\\\Rightarrow (2x-11):3=3\\\Rightarrow2x-11=3\cdot3\\\Rightarrow2x-11=9\\\Rightarrow2x=9+11\\\Rightarrow2x=20\\\Rightarrow x=20:2=10\)

\(b,(25-2x)^3:5-3^2=4^2\\\Rightarrow(25-2x)^3:5-9=16\\\Rightarrow(25-2x)^3:5=16+9\\\Rightarrow(25-2x)^3:5=25\\\Rightarrow(25-2x)^3=25\cdot5\\\Rightarrow(25-2x)^3=125\\\Rightarrow(25-2x)^3=5^3\\\Rightarrow25-2x=5\\\Rightarrow2x=25-5\\\Rightarrow2x=20\\\Rightarrow x=20:2=10\\Toru\)

\(\dfrac{5x^2}{x^2+5x+6}=\dfrac{5x^2}{\left(x+2\right)\left(x+3\right)}=\dfrac{5x^2\left(x+5\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)}\)

\(\dfrac{2x+3}{x^2+7x+10}=\dfrac{2x+3}{\left(x+2\right)\left(x+5\right)}=\dfrac{\left(2x+3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)}\)

\(-5=\dfrac{-5\left(x+2\right)\left(x+3\right)\left(x+5\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)}\)

qui đồng cái nào hả bn ?? ?

MSC:

\(\dfrac{5x^2}{\left(x+2\right)\left(x+3\right)};\dfrac{\left(2x+3\right)}{\left(x+2\right)\left(x+5\right)};-5\)

\(\dfrac{5x^2\left(x+5\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)};\dfrac{\left(2x+3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)};\dfrac{-5\left(x+2\right)\left(x+3\right)\left(x+5\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)}\)

Giúp mk vs các bạn ới!

a: \(\dfrac{x-1}{x+1}=\dfrac{\left(x-1\right)^2}{\left(x+1\right)\left(x-1\right)}\)

\(\dfrac{x+1}{x-1}=\dfrac{\left(x+1\right)^2}{\left(x-1\right)\left(x+1\right)}\)

\(\dfrac{1}{x^2-1}=\dfrac{1}{\left(x+1\right)\left(x-1\right)}\)

b: \(\dfrac{x}{x^3-xy^2}=\dfrac{1}{\left(x-y\right)\left(x+y\right)}=\dfrac{x+y}{\left(x-y\right)\left(x+y\right)^2}\)

\(\dfrac{1}{\left(x+y\right)^2}=\dfrac{x-y}{\left(x+y\right)^2\cdot\left(x-y\right)}\)

c: \(\dfrac{5x^2}{x^2+5x+6}=\dfrac{5x^2}{\left(x+2\right)\left(x+3\right)}=\dfrac{5x^2\left(x+5\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)}\)

\(\dfrac{2x+3}{x^2+7x+10}=\dfrac{2x+3}{\left(x+2\right)\left(x+5\right)}=\dfrac{\left(2x+3\right)\left(x+3\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)}\)

\(-5=\dfrac{-5\left(x+2\right)\left(x+3\right)\left(x+5\right)}{\left(x+2\right)\left(x+3\right)\left(x+5\right)}\)

Bài 2:

a: \(\dfrac{1}{4};\dfrac{2}{5}\)

\(\dfrac{1}{4}=\dfrac{1\cdot5}{4\cdot5}=\dfrac{5}{20}\)

\(\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}\)

\(\dfrac{2}{3};\dfrac{7}{8}\)

\(\dfrac{2}{3}=\dfrac{2\cdot8}{3\cdot8}=\dfrac{16}{24}\)

\(\dfrac{7}{8}=\dfrac{7\cdot3}{8\cdot3}=\dfrac{21}{24}\)

\(\dfrac{3}{4};\dfrac{5}{6}\)

\(\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\)

\(\dfrac{5}{6}=\dfrac{5\cdot2}{6\cdot2}=\dfrac{10}{12}\)

b: \(\dfrac{1}{3};\dfrac{7}{9}\)

\(\dfrac{1}{3}=\dfrac{1\cdot3}{3\cdot3}=\dfrac{3}{9}\)

\(\dfrac{7}{9}=\dfrac{7\cdot1}{9\cdot1}=\dfrac{7}{9}\)

\(\dfrac{3}{4};\dfrac{9}{24}\)

\(\dfrac{3}{4}=\dfrac{3\cdot6}{4\cdot6}=\dfrac{18}{24}\)

\(\dfrac{9}{24}=\dfrac{9\cdot1}{24\cdot1}=\dfrac{9}{24}\)

\(\dfrac{7}{10};\dfrac{19}{30}\)

\(\dfrac{7}{10}=\dfrac{7\cdot3}{10\cdot3}=\dfrac{21}{30}\)

\(\dfrac{19}{30}=\dfrac{19\cdot1}{30\cdot1}=\dfrac{19}{30}\)

Bài 1:

\(\dfrac{36}{108}=\dfrac{36:36}{108:36}=\dfrac{1}{3}\)

\(\dfrac{28}{30}=\dfrac{28:2}{30:2}=\dfrac{14}{15}\)

\(\dfrac{42}{98}=\dfrac{42:14}{98:14}=\dfrac{3}{7}\)

\(\dfrac{15}{120}=\dfrac{15:15}{120:15}=\dfrac{1}{8}\)

\(\dfrac{84}{364}=\dfrac{84:28}{364:28}=\dfrac{3}{13}\)

\(\dfrac{120}{100}=\dfrac{120:20}{100:20}=\dfrac{6}{5}\)

\(\dfrac{418}{38}=\dfrac{418:38}{38:38}=\dfrac{11}{1}=11\)

\(\dfrac{96}{1056}=\dfrac{96:96}{1056:96}=\dfrac{1}{11}\)

\(\dfrac{3838}{4040}=\dfrac{3838:101}{4040:101}=\dfrac{38}{40}=\dfrac{38:2}{40:2}=\dfrac{19}{20}\)

\(\dfrac{119119}{123123}=\dfrac{119119:1001}{123123:1001}=\dfrac{119}{123}\)

help! giúp mik với ạ!!!

a: =>x^3-3x^2+3x^2-9x+4x-12+a+12 chia hết cho x-3

=>a+12=0

=>a=-12

b: =>2x^2-6x+5x-15+a+15 chia hết cho x-3

=>a+15=0

=>a=-15

c: =>x^3-2x^2-5x^2+20+a-20 chia hết cho x-2

=>a-20=0

=>a=20

e: =>10x^2-15x+8x-12+a+12 chia hết cho 2x-3

=>a+12=0

=>a=-12

f: =>5x^3-x^2+5x^2-x-5x+1-a-1 chia hết cho 5x-1

=>-a-1=0

=>a=-1