\(\left(\dfrac{-5}{24}+0,75+\dfrac{7}{12}\right):\left(-2\dfrac{1}{4}\right)\\ =\left(\dfrac{-5}{24}+\dfrac{3}{4}+\dfrac{7}{12}\right):\dfrac{-9}{4}\\ =\dfrac{9}{8}.\dfrac{-4}{9}\\ =\dfrac{-1}{2}\)

Bài 3: 

b: Ta có: \(\left(x+1\right)^3-\left(x-1\right)^3-6\left(x-1\right)^2=-10\)

\(\Leftrightarrow x^3+3x^2+3x+1-x^3+3x^2-3x+1-6\left(x^2-2x+1\right)+10=0\)

\(\Leftrightarrow6x^2+12-6x^2+12x-6=0\)

hay \(x=-\dfrac{1}{2}\)

Bài 2: 

a: \(x^3+3x^2+3x+1=\left(x+1\right)^3\)

b: \(m^3+9m^2n+27mn^2+27n^3=\left(m+3n\right)^3\)

=3/4*4/5*...*99/100

=3/100

15.141+59.15=2115+885=3000

20-[30-(5-1²)]=20-[30-(5-1)]=20-[30-4)]=20-26=.....chỗ này đề bài sai nha bn

20-[30-(5-1^2)]=20-[30-(5-1)^2]=20-[30-4^2]=20-[30-16]=20-14=6

b: \(\left(-99\right)+\left(-23\right)+\left(-201\right)+\left(-17\right)\)

\(=\left(-99-201\right)+\left(-23-17\right)\)

\(=-300-40=-340\)

c: \(\left(-105\right)-79-\left(-105\right)\)

\(=-105-79+105\)

\(=\left(105-105\right)-79\)

=0-79

=-79

d: \(\left(-230\right)-\left(-156\right)-\left(-230\right)\)

\(=-230+156+230\)

\(=\left(-230+230\right)+156\)

=0+156

=156

e: \(\left(-2021\right)+\left(-87\right)+2021+12\)

\(=\left(-2021+2021\right)+\left(-87+12\right)\)

=0+(-75)

=-75

Giúp mình đi mọi người.

Giúp mình nhanh nha mọi người

a)5-2(1/2)^2

=5-2*1

=5-2

=3

Lời giải:
a.

$5x-[2x+1-(2x-3)-(4x+1)]=5x-(2x+1-2x+3-4x-1)$

$=5x-(-4x+3)=5x+4x-3=9x-3$

b.

$(-3x^2+2x-1)+(4x^2-2x+3)$

$=-3x^2+2x-1+4x^2-2x+3=x^2+2$

a, \(\left(2x-1\right)\left(3-2x\right)=6x-4x^2-3+2x=-4x^2+8x-3\)

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