\(\dfrac{1}{4}+\dfrac{1}{3}\times X=\dfrac{1}{2}\\ \dfrac{1}{3}\times X=\dfrac{1}{2}-\dfrac{1}{4}=\dfrac{1}{4}\\ X=\dfrac{1}{4}:\dfrac{1}{3}=\dfrac{1}{4}\times3=\dfrac{3}{4}\)

$\genfrac{}{}{0ex}{}{1}{4}+\genfrac{}{}{0ex}{}{1}{3}\times X=\genfrac{}{}{0ex}{}{1}{2}\genfrac{}{}{0ex}{}{1}{3}\times X=\genfrac{}{}{0ex}{}{1}{2}-\genfrac{}{}{0ex}{}{1}{4}=\genfrac{}{}{0ex}{}{1}{4}X=\genfrac{}{}{0ex}{}{1}{4}:\genfrac{}{}{0ex}{}{1}{3}=\genfrac{}{}{0ex}{}{1}{4}\times 3=\genfrac{}{}{0ex}{}{3}{4}$

\(A=\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+...+\dfrac{1}{420}\\ \Rightarrow A=\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+...+\dfrac{1}{20\times21}\\ \Rightarrow A=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{20}-\dfrac{1}{21}\\\Rightarrow A=\dfrac{1}{2}-\dfrac{1}{20}=\dfrac{9}{20}\)

Sau khi rút gọn phải còn:

\(A=\dfrac{1}{2}-\dfrac{1}{21}\) (chứ anh)

\(A=\dfrac{19}{42}\)

\(X+X:0,5=27\)

\(\Rightarrow X\left(1+\dfrac{1}{0,5}\right)=27\)

\(\Rightarrow X\left(1+2\right)=27\)

\(\Rightarrow3X=27\Rightarrow X=27:3=9\)

bằng 9 nhaa

\(\dfrac{3}{4}\times X-1=\dfrac{1}{2}\times X\\ \dfrac{3}{4}\times X-\dfrac{1}{2}\times X=1\\ \left(\dfrac{3}{4}-\dfrac{1}{2}\right)\times X=1\\ \dfrac{1}{4}\times X=1\\ X=1:\dfrac{1}{4}\\ X=4\)

\(\dfrac{3}{4}\times x-1=\dfrac{1}{2}\times x\\ \dfrac{3}{4}\times x-\dfrac{1}{2}\times x=1\\ x\times\left(\dfrac{3}{4}-\dfrac{1}{2}\right)=1\\ x\times\dfrac{1}{4}=1\\ x=1:\dfrac{1}{4}\\x=4\)

D=1/1.5+1/5.9+...+1/41.45

4D=4/1.5+4/5.9+...+4/41.45

4D=1-1/5+1/5-1/9+...+1/41-1/45

4D=1-1/45

D=44/45:4=11/45

\(M=\sqrt{\dfrac{4}{\left(2-\sqrt{5}\right)^2}}-\sqrt{\dfrac{4}{\left(2+\sqrt{5}\right)^2}}=\dfrac{2}{\left|2-\sqrt{5}\right|}-\dfrac{2}{\left|2+\sqrt{5}\right|}\)

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

\(=\dfrac{8}{1}=8\)

Lm ơn giúp mik đii mà mik bt ơn bn đó nhiều lắm . Mik đang rất cần

a: \(2x^2\left(3xy+x^2-2y^2\right)\)

\(=6x^3y+2x^4-4x^2y^2\)

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

\(=\dfrac{2}{3}x^3y^3-x^2y^4+\dfrac{1}{3}x^2y^3\)

h: \(\left(x-1\right)\left(x+1\right)\left(2x-3\right)\)

\(=\left(x^2-1\right)\left(2x-3\right)\)

\(=2x^3-3x^2-2x+3\)

a) (-26) + (-32)   b) 57 + 264   c) (-267) + (-473)   d) (-5) +8

=-(26 + 32)         =321             =-(267 + 473)         =8-5

=-58                                        =-740                     =3

e) 1000 + (-327)    f) (-5679) + 5679   g) (-2364) + (-175)

=1000-327             =0                          =- (2364 + 175)

=673                                                    =-2539

h) 136 + (-36)

=136 - 36

=100