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\(\left(\frac{2}{3}xy^2-\frac{3}{2}y\right)^3=\frac{8}{27}x^3y^6-2x^2y^5+\frac{81}{8}xy^4-\frac{27}{8}y^3\)
=.= hok tốt!!
9x2+4y2+2(3x+2y+6xy)+1
= 9x2+4y2+1+6x+4y+12xy
=(3x)2+(2y)2+12+2.3x.2y+2.2y.1+2.3x.1 (1)
Thay 3x=m,2y=n,1=p
=>(1)=m2+n2+p2+2mn+2np+2pm=(m+n+p)2
=> 9x2+4y2+2(3x+2y+6xy)+1=(3x+2y+1)2
5xy2(x - 3y) = 5x2y2 - 15xy3
(x+5)(x2-2x+3) = x3-2x2+3x +5x2-10x+15= x3+3x2-7x+15
(x + 2y)(x-y)= x2-xy+2xy-2y2= x2+xy-2y2
tk mình nha bạn
Khó thế giải hộ tao bài này với Trang ơi:
( x + 2) ( 1 + x - x2 + x3 - x4 ) - ( 1 - x ) 9 1 + x + x2 + x3 + x4 )
\(=\dfrac{3\left(x+1\right)\left(3x-5\right)}{-\left(3x-5\right)\left(3x+5\right)}=\dfrac{-3\left(x+1\right)}{3x+5}\)
\(\left(x-3\right)^2-\left(x^2-3x\right)=0\)
\(\left(x-3\right).\left(x-3\right)-x.\left(x-3\right)=0\)
\(\left(x-3\right).\left(x-3-x\right)=0\)
\(\left(x-3\right).3=0\)
\(x-3=0=>x=3\)
Bài 2:
1: \(\left(2x-1\right)^2-4\left(2x-1\right)=0\)
=>\(\left(2x-1\right)\left(2x-1-4\right)=0\)
=>(2x-1)(2x-5)=0
=>\(\left[{}\begin{matrix}2x-1=0\\2x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{5}{2}\end{matrix}\right.\)
2: \(9x^3-x=0\)
=>\(x\left(9x^2-1\right)=0\)
=>x(3x-1)(3x+1)=0
=>\(\left[{}\begin{matrix}x=0\\3x-1=0\\3x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{3}\\x=-\dfrac{1}{3}\end{matrix}\right.\)
3: \(\left(3-2x\right)^2-2\left(2x-3\right)=0\)
=>\(\left(2x-3\right)^2-2\left(2x-3\right)=0\)
=>(2x-3)(2x-3-2)=0
=>(2x-3)(2x-5)=0
=>\(\left[{}\begin{matrix}2x-3=0\\2x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=\dfrac{5}{2}\end{matrix}\right.\)
4: \(\left(2x-5\right)\left(x+5\right)-10x+25=0\)
=>\(2x^2+10x-5x-25-10x+25=0\)
=>\(2x^2-5x=0\)
=>\(x\left(2x-5\right)=0\)
=>\(\left[{}\begin{matrix}x=0\\2x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{5}{2}\end{matrix}\right.\)
Bài 1:
1: \(3x^3y^2-6xy\)
\(=3xy\cdot x^2y-3xy\cdot2\)
\(=3xy\left(x^2y-2\right)\)
2: \(\left(x-2y\right)\left(x+3y\right)-2\left(x-2y\right)\)
\(=\left(x-2y\right)\cdot\left(x+3y\right)-2\cdot\left(x-2y\right)\)
\(=\left(x-2y\right)\left(x+3y-2\right)\)
3: \(\left(3x-1\right)\left(x-2y\right)-5x\left(2y-x\right)\)
\(=\left(3x-1\right)\left(x-2y\right)+5x\left(x-2y\right)\)
\(=(x-2y)(3x-1+5x)\)
\(=\left(x-2y\right)\left(8x-1\right)\)
4: \(x^2-y^2-6y-9\)
\(=x^2-\left(y^2+6y+9\right)\)
\(=x^2-\left(y+3\right)^2\)
\(=\left(x-y-3\right)\left(x+y+3\right)\)
5: \(\left(3x-y\right)^2-4y^2\)
\(=\left(3x-y\right)^2-\left(2y\right)^2\)
\(=\left(3x-y-2y\right)\left(3x-y+2y\right)\)
\(=\left(3x-3y\right)\left(3x+y\right)\)
\(=3\left(x-y\right)\left(3x+y\right)\)
6: \(4x^2-9y^2-4x+1\)
\(=\left(4x^2-4x+1\right)-9y^2\)
\(=\left(2x-1\right)^2-\left(3y\right)^2\)
\(=\left(2x-1-3y\right)\left(2x-1+3y\right)\)
8: \(x^2y-xy^2-2x+2y\)
\(=xy\left(x-y\right)-2\left(x-y\right)\)
\(=\left(x-y\right)\left(xy-2\right)\)
9: \(x^2-y^2-2x+2y\)
\(=\left(x^2-y^2\right)-\left(2x-2y\right)\)
\(=\left(x-y\right)\left(x+y\right)-2\left(x-y\right)\)
\(=\left(x-y\right)\left(x+y-2\right)\)
Bạn cho đề kĩ hơn được không :)
tính để ra kết quả