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`a)`
`A-B=(6x^2-7xy-4y^2)-(-2x^2+7xy+5y^2)`
`=6x^2-7xy-4y^2+2x^2-7xy-5y^2`
`=(6x^2+2x^2)-(7xy+7xy)-(4y^2+5y^2)`
`=8x^2-14xy-9y^2`
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`b)`
`Q-(3x^4-2xyz)=xy+3x^4-5xyz-713`
`Q=(xy+3x^4-5xyz-713)+(3x^4-2xyz)`
`Q=xy+3x^4-5xyz-713+3x^4-2xyz`
`Q=xy+6x^4-7xyz-713`
a) A= 12-7xy-4y^2
B=-4+7xy+5y^2
A-B= 16-14xy-9y^2
b) Q(x)= xy+12-5xyz-713+12-2xyz
= xy+(12+12-713)+(-5xyz-2xyz)
= xy-689-7xyz
Chúc bạn học tốt !
\(M=x^3+x^2y-2x^2-xy-y^2+3y+x+2017\)
\(\Rightarrow M=\left(x^3+x^2y-2x^2\right)-xy-y^2+2y+y+x-2+2019\)
\(\Rightarrow M=\left(x^3+x^2y-2x^2\right)-\left(xy+y^2-2y\right)+\left(y+x-2\right)+2019\)
\(\Rightarrow M=x^2\left(x+y-2\right)-y\left(x+y-2\right)+\left(x+y-2\right)+2019\)
\(\Rightarrow M=\left(x^2-y+1\right)\left(x+y-2\right)+2019\)
\(\Rightarrow M=\left(x^2-y+1\right).0+2019\)
\(\Rightarrow M=0+2019\)
\(\Rightarrow M=2019\)
M = x3 + x2y - 2x2 - xy - y2 + 3y + x + 2017
M = (x3 + x2y - 2x2) - (xy + y2 - 2y) + (x + y - 2) + 2019
M = x2. (x + y - 2) - y(x + y - 2) + (x + y - 2) + 2019 = 2019
\(M = x^3 + x^2y - 2x^2 - xy - y^2 + 3y + x + 2017.\)
\(M=(x^3+x^2y-2x^2)-(xy-y^2+2y)+(x+y-2)+2019\)
\(M=x^2.(x+y-2)-y.(x-y+2)+(x+y-2)+2019\)
\(M=x^2.0-y.0+0+2019\)
\(M=0-0+0+2019\)
\(M=2019\)
\(A=x^3+x^2y-2x^2-xy-y^2+3y+x+2019\)
\(=x^3+x^2\left(2-x\right)-2x^2-y\left(x+y\right)+3y+x+2019\)
\(=x^3+2x^2-x^3-2x^2-2y+3y+x+2019\)
\(=x+y+2019=2021\)
a: P+N=K
nên P=K-N
\(=2x^2-6xy+5x^2y-3y-3x^2-xy+6x^2y-2\)
\(=-x^2-7xy+11x^2y-3y-2\)
b> Z=P+N
\(=-x^2-7xy+11x^2y-3y-2+3x^2+xy-6x^2y+2\)
\(=2x^2-6xy+5x^2y-3y\)
\(\left\{{}\begin{matrix}2xy+x+2y=5\\xy+3x-3y=5\end{matrix}\right.\)
\(\Rightarrow2xy+x+2y=xy+3x-3y\)
\(\Rightarrow2xy+x+2y-xy-3x+3y=0\)
\(\Rightarrow\left(2xy-xy\right)+\left(x-3x\right)+\left(2y+y\right)=0\)
\(\Rightarrow xy-2x+3y=0\)
\(\Rightarrow xy-2x+3y-6=-6\)
\(\Rightarrow x\left(y-2\right)+3\left(y-2\right)=-6\)
\(\Rightarrow\left(x+3\right)\left(y-2\right)=-6\)
Xét ước là xong,mấy câu kia tương tự
\(3y\left(2x^2-xy\right)-6x^2\left(y+xy\right)\)
\(=6x^2y-3xy^2-6x^2y+6x^3y=-3xy^2+6x^3y\)