`Answer:`

\(A+\left(6x^2y+2xy+4y\right)=7x^2y-y\)

\(\Leftrightarrow A=\left(7x^2y-y\right)-\left(6x^2y+2xy+4y\right)\)

\(\Leftrightarrow A=\left(7x^2y-6x^2y\right)+\left(-y-4y\right)-2xy\)

\(\Leftrightarrow A=x^2y-5y-2xy\)

giải giúp mik nha please

\(A+\left(6x^2y+2xy+4y\right)=7x^2y-y\)

\(A=7x^2y-y-\left(6x^2y+2xy+4y\right)\)

\(A=7x^2y-y-6x^2y-2xy-4y\)

\(A=\left(7x^2y-6x^2y\right)+\left(-y-4y\right)-2xy\)

\(A=x^2y-5y-2xy\)

A+6x^2y+2xy+4y=7x^2y-y

A=7x^2y-y-6x^2y-2xy-4y

A=x^2y-5y-2xy

A=x^2y-5y-2xy

a) 6x² + 3xy² + A = x² + y² - 2xy²

A = x² + y² - 2xy² - 6x² - 3xy²

A = (x² - 6x²) + (-2xy² - 3xy²) + y²

A = -5x² - 5xy² + y²

b) B - (2xy - 4y²) = 5xy + x² - 7y²

B = 5xy + x² - 7y² + 2xy - 4y²

B = (5xy + 2xy) + (-7y² - 4y²) + x²

B = 7xy - 11y² + x²

Bài 2: 

a: \(3x^2-3xy=3x\left(x-y\right)\)

b: \(x^2-4y^2=\left(x-2y\right)\left(x+2y\right)\)

c: \(3x-3y+xy-y^2=\left(x-y\right)\left(3+y\right)\)

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

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Bài 2 : 

a, \(A+B=x^2-2y^2+xy+1+x^2+y^2-x^2y^2-1=2x^2-y^2+xy-x^2y^2\)

b, \(C+A+B=2x^2-y^2+xy-x^2y^2+2x^2-y^2+xy-x^2y^2=4x^2-2y^2+2xy-2x^2y^2\)

bạn đăng tách bài ra cho mọi người cùng giúp nhé

Bài 1 : 

a, \(6x^2-3xy^2+M=x^2+y^2-2xy^2\Leftrightarrow M=-5x^2+y^2+xy^2\)

b, \(N-\left(2xy-4y^2\right)=5xy+x^2-7y^2\)

\(\Leftrightarrow N=5xy+x^2-7y^2+2xy-4y^2=x^2+7xy-11y^2\)

Một năm trôi qua ~ . Giờ làm tiếp câu 1 :v

Câu a : \(x\left(x-y\right)+y\left(x-y\right)=x^2-xy+xy-y^2=x^2-y^2\)

Câu b : \(\left(x^2-xy+y^2\right)\left(x+y\right)-\left(x-y\right)\left(x^2+xy+y^2\right)\)

\(=\left(x^3+y^3\right)-\left(x^3-y^3\right)=x^3+y^3-x^3+y^3=2y^3\)

Câu c : \(7x\left(4y-x\right)+4y\left(y-7x\right)-\left(4y^2-7x\right)\)

\(=28xy-7x^2+4y^2-28xy-4y^2+7x^2=0\)

Câu d : \(\left(2x+y\right)\left(2z+y\right)+\left(x-y\right)\left(y-z\right)\)

\(=4xz+2xy+2yz+y^2+xy-xz-y^2+yz\)

\(3xy+3yz+3xz=3\left(xy+yz+xz\right)\)

Lười làm câu 1 :

Câu 2 :

\(3x\left(12x-4\right)-9x\left(4x-3\right)=30\)

\(\Leftrightarrow36x^2-12x-36x^2+27x=30\)

\(\Leftrightarrow15x=30\)

\(\Rightarrow x=2\)

a) Ta có :

=>

Vậy đa thức

b) Ta có :

=>

=>

a, \(A=-x^2+4xy^2-2xz+3y^2\)

b, \(B=6x^2+9xy-y^2-5x^2+2xy=x^2+11xy-y^2\)

c, \(A=3xy-4y^2-x^2+7xy-8y^2=-x^2+10xy-12y^2\)

giúp mik vs mik k cho

mai mik kt 1 tiết r

a,

\(\left(x^2-2xy+y^2\right)\left(x-y\right)-\left(x-y\right)\left(x^2+xy+y^2\right)\)

\(=\left[\left(x^2-2xy+y^2\right)\left(x-y\right)\right]-\left[\left(x-y\right)\left(x^2+xy+y^2\right)\right]\)

\(=\left[\left(x-y\right)^2\left(x-y\right)\right]-\left(x-y\right)^3\)

\(=\left(x-y\right)^3-\left(x-y\right)^3\)

\(=0\)