\(a,M+\left(5x^2-2xy\right)=6x^2+9xy-y^2\\ \Rightarrow M=6x^2+9xy-y^2-5x^2+2xy\\ \Rightarrow M=x^2+11xy-y^2\\ b,\left(25x^2y-13xy^2+y^3\right)-M=11xy^2-2y^3\\ \Rightarrow M=25x^2y-13xy^2+y^3-11xy^2+2y^3\\ \Rightarrow M=25x^2y-24xy^2+3y^3\)

\(\left(2x-5\right)^{2018}+\left(3y+4\right)^{2020}\le0\\ \Leftrightarrow\left(2x-5\right)^{2018}+\left(3y+4\right)^{2020}=0\\ \Leftrightarrow\left\{{}\begin{matrix}\left(2x-5\right)^{2018}=0\\\left(3y+4\right)^{2020}=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{5}{2}\\y=-\dfrac{4}{3}\end{matrix}\right.\\ \Leftrightarrow M=6x^2+9xy-y^2-5x^2+2xy=x^2+11xy-y^2\\ \Leftrightarrow M=\dfrac{25}{4}-11\cdot\dfrac{4}{3}\cdot\dfrac{5}{2}-\dfrac{16}{9}=\dfrac{25}{4}-\dfrac{110}{3}-\dfrac{16}{9}=-\dfrac{1159}{36}\)

M=6x^2+9xy-y^2-5x^2+2xy=x^2+11xy-y^2
(2x-5)^2020+(3y+4)^2022<=0

=>x=5/2 và y=-4/3

M=25/4+11*5/2*(-4/3)-16/9=-1159/36

Có M+5x^2-2xy-y^2=6x^2+9xy-y^2

=> M= 6x^2+9xy-y^2-(5x^2-2xy-y^2)

=> M=6x^2-9xy-y^2-5x^2+2xy+y^2

=>M=(6x^2-5x^2)+(-9xy+2xy)+(y^2-y^2)

=> M= x^2-7xy

     M + 5x² - 2xy - y² = 6x² + 9xy - y²

=> M = (6x² + 9xy - y²) - ( 5x² - 2xy - y² )    (chuyển vế)

=> M = 6x² + 9xy - y²  - 5x² + 2xy + y²        ( bỏ dấu ngoặc)

=> M = ( 6x² - 5x²) + (9xy + 2xy) + ( - y² + y²)

=> M = x² + 11xy 

xin lỗi tran nhu dung

a/

 \(M+5x^2-2xy-6x^2-9xy+y^2=0\)

\(M-x^2-11xy+y^2=0\)

\(M-x^2+y^2-11xy=0\)

\(M=x^2-y^2+11xy\)

Vậy:..

Câu b tương tự

M + (5x² - 2xy) = 6x² + 9xy - y^{2   ta có} M = ( 6x² + 9xy - y^{2) -(}5x² - 2xy)= x2 +11xy -y2

\(M=6x^2+9xy-y^2-5x^2+2xy\)

\(M=x^2+11xy-y^2\)

\(N=3xy-4y^2-x^2+7xy-8y^2\)

\(N=-x^2+10xy-12y^2\)

a.    \(M+\left(5x^2-2xy\right)=6x^2+9xy-y^2\)

\(\Rightarrow M=6x^2+9xy-y^2-5x^2+2xy\)

b.     \(\left(3xy-4y^2\right)-N=x^2-7xy+8y^2\)

\(\Rightarrow N=3xy-4y^2-x^2+7xy-8y^2\)

\(M=6x^2+9xy-y^2-5x^2+2xy=x^2+11xy-y^2\)