giúp mik vs mik k cho

mai mik kt 1 tiết r

a,

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

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

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

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

\(=0\)

giúp mik vs please

mn ơi giúp mình với

\(1)A=2x\left(x-y\right)-y\left(y-2x\right)\)

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

\(=2x^2-y^2=2.\left(-\dfrac{2}{3}\right)^2-\left(-\dfrac{1}{3}\right)^2\)

\(=\dfrac{8}{9}-\dfrac{1}{9}=\dfrac{7}{9}\)

\(2)B=5x\left(x-4y\right)-4y\left(y-5x\right)\)

\(=5x^2-20xy-4y^2+20xy\)

\(=5x^2-4y^2=5.\left(-\dfrac{1}{5}\right)^2-4.\left(-\dfrac{1}{2}\right)^2=\dfrac{1}{5}-1=-\dfrac{4}{5}\)

\(3)C=\text{x.(x^2-y^2)-x^2(x+y)+y(x^2-x)}\)

\(=x^3-xy^2-x^3-x^2y+x^2y-xy\)

\(=-xy\left(x+1\right)\)

\(=\dfrac{1}{2}.100\left(100+1\right)=50.101=5050\)

cái đoạn\(-xy\left(x+1\right)\)đổi x+1 thành y+1 nha mik đánh nhầm

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) \(3x^2-2x\left(5+1,5x\right)+10x\)

\(=3x^2-10x-3x^2+10x=0\)

b) \(7x\left(4y-x\right)+4y\left(y-7x\right)-2\left(2y^2-3,5x\right)\)

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

\(=-7x^2+7x\)

ko biết haha