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sau bạn đăng tách ra cho mn cùng giúp nhé
a, \(\left(-2x^5+3x^2-4x^3\right):2x^2=-x^3+\frac{3}{2}-2x\)
b, \(\left(x^3-2x^2y+3xy^2\right):\left(-\frac{1}{2}x\right)=-\frac{x^2}{2}+xy-\frac{3y^2}{2}\)
c, \(\left(3x^2y^2+6x^3y^3-12xy^2\right):3xy=xy+2x^2y^2-4y\)
d, \(\left(4x^3-3x^2y+5xy^2\right):\frac{1}{2}x=2x^2-\frac{3xy}{2}+\frac{5y^2}{2}\)
e, \(\left(18x^3y^5-9x^2y^2+6xy^2\right):3xy^2=6x^2y^3-3x+2\)
f, \(\left(x^4+2x^2y^2+y^4\right):\left(x^2+y^2\right)=\left(x^2+y^2\right)^2:\left(x^2+y^2\right)=x^2+y^2\)
b: \(\frac{2x-1}{x^2+x}+\frac{5-x}{x^2-1}\)
\(=\frac{2x-1}{x\left(x+1\right)}+\frac{5-x}{\left(x-1\right)\left(x+1\right)}\)
\(=\frac{\left(2x-1\right)\left(x-1\right)+x\left(5-x\right)}{x\left(x+1\right)\left(x-1\right)}=\frac{2x^2-3x+1+5x-x^2}{x\left(x+1\right)\left(x-1\right)}\)
\(=\frac{x^2+2x+1}{x\left(x-1\right)\left(x+1\right)}=\frac{\left(x+1\right)^2}{x\left(x-1\right)\left(x+1\right)}=\frac{x+1}{x\left(x-1\right)}\)
a: \(\frac{3xy-4y^2}{2x^2y}-\frac{xy-4y^2}{2x^2y}\)
\(=\frac{3xy-4y^2-xy+4y^2}{2x^2y}\)
\(=\frac{2xy}{2x^2y}=\frac{1}{x}\)
a: \(N=\dfrac{3x^5-4x^4+6x^3}{-2x^2}=-\dfrac{3}{2}x^3+2x^2-3x\)
b: \(N=\dfrac{\left(6x^4y^5-3x^3y^4+\dfrac{1}{2}x^4y^3z\right)}{-\dfrac{1}{3}x^2y^3}=-18x^2y^2+9xy-\dfrac{3}{2}x^2z\)
c: \(\Leftrightarrow N\cdot\left(y-x\right)=\left(x-y\right)^3\)
\(\Leftrightarrow N=\dfrac{\left(x-y\right)^3}{y-x}=-\left(y-x\right)^2\)
d: \(\Leftrightarrow N\cdot\left(y^2-x^2\right)=\left(y^2-x^2\right)^2\)
hay \(N=y^2-x^2\)
a: \(x^2\cdot x-2x^3=x^3-2x^3=-x^3\)
b: \(6x^2y\cdot3xy-2y^2\left(x+y\right)=18x^3y^2-2xy^2-2y^3\)
c: \(\left(4x^2+5x-1\right)\left(2x^3-3x\right)\)
\(=8x^5-12x^3+10x^4-15x^2-2x^3+3x\)
\(=8x^5+10x^4-14x^3-15x^2+3x\)
\(a,\left(x^2-2x+3\right)\left(\dfrac{1}{2}x-5\right)\\ =x^2.\dfrac{1}{2}x-5x^2-2x.\dfrac{1}{2}x+2x.5+3.\dfrac{1}{2}x-15\\ =\dfrac{1}{2}x^3-5x^2-x^2+10x+\dfrac{3}{2}x-15\\ =\dfrac{1}{2}x^3-6x^2+\dfrac{23}{2}x-15\)
\(b,\left(x^2y^2-\dfrac{1}{3}xy+2y\right)\left(x-2y\right)\\ =x^3y-2x^2y^3-\dfrac{1}{3}x^2y+\dfrac{2}{3}xy^2+2xy-4y^2\)
a) \(\left(x^2-2x+3\right)\left(\dfrac{1}{2}x-5\right)\)
\(=\dfrac{1}{2}x^3-5x^2-x+10x+\dfrac{3}{2}x-15\)
\(=\dfrac{1}{2}x^3-5x^2+\dfrac{48}{5}x-15\)
b) \(\left(x^2y^2-\dfrac{1}{3}xy+2y\right)\left(x-2y\right)\)
\(=x^3y^2-2x^2y^3-\dfrac{1}{3}x^2y+\dfrac{2}{3}xy^2+2xy-4y^2\)
Chị ơi câu b) chị làm hơi lạ
Xem lại câu a nha :v
a) \(=\dfrac{1}{2}x^3-5x^2-x^2+10x+\dfrac{3}{2}x-15\)
\(=\dfrac{1}{2}x^3-6x^2+\dfrac{23}{2}x-15\)
Chỗ đầu tiên phải là x3y2