phân tích các số sau ra thừa số nguyên tố 48;56;84;105;360

a)  -3x(2x-5)-2x(2-3x)=7

=> -6x² + 15 - 4x + 6x² = 7

=> -6x² + 6x² + 15 -4x =7

=> 15 - 4x =7

=> 4x = 15-7 =8

=> x= 8:4 = 2

b) \(\left(9x-12x+4\right)\left(2-5x\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}9x-12x+4=0\\2-5x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x\left(9-12\right)=-4\\5x=2\end{cases}}\)\(\Leftrightarrow\orbr{\begin{cases}-3x=-4\\x=\frac{2}{5}\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{4}{3}\\x=\frac{2}{5}\end{cases}}\)

Vay...

c)  (4-3x) = (5+2x)

=> 4-3x=5+2x

=> -3x - 2x = 5-4

=> x(-3-2) = 1

=> -5x = 1

=> x= \(\frac{-1}{5}\)

d) (2x-1)-3(2x-1)=0

=> 2x-1 - 6x + 3 =0

=> 2x - 6x = 1 -3

=> x(2-6)=-2

=> -4x= -2

=> x = \(\frac{1}{2}\)

d)(2x-1)-3(2x-1)

=>1(2x-1)-3(2x-1)=0

=>(1-3).(2x-1)=0

=>-2(2x-1)=0

=>2x-1=0

=>2x=-1

=>x=-0,5 

vay x =-0,5

a) \(3x.\left(2-8x\right)-12x.\left(1-2x\right)=6\)

\(\Rightarrow6x-24x^2-12x+24x^2=6\)

\(\Rightarrow-6x=6\)

\(\Rightarrow x=6:\left(-6\right)=-1\)

b) \(3.\left(3-2x^2\right)+3x.\left(2x-1\right)=9\)

\(\Rightarrow9-6x^2+6x^2-3x=9\)

\(\Rightarrow-3x=9-9=0\)

\(\Rightarrow x=0:\left(-3\right)=0\)

P/s: Ko chắc!

b: \(x^2-6x+xy-6y\)

\(=x\left(x-6\right)+y\left(x-6\right)\)

\(=\left(x-6\right)\left(x+y\right)\)

c: \(2x^2+2xy-x-y\)

\(=2x\left(x+y\right)-\left(x+y\right)\)

\(=\left(x+y\right)\left(2x-1\right)\)

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