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1)a)=>x2+y2+2xy-4(x2-y2-2xy)
=>x2+y2+2xy-4.x2+4y2+8xy
=>-3.x2+5y2+10xy
=x^3-xy-x^3-x^2y+x^2y--xy
=-2xy
thay x=1\2 va y bang 100 vao Bta duoc
B= -2.1\2.100=-100
a) \(\left(x-2y\right)^2+\left(x+2y\right)^2=x^2-4xy+4y^2+x^2+4xy+4y^2=2x^2+8y^2\)
b) \(2\left(x-y\right)\left(x+y\right)+\left(x+y\right)^2+\left(x-y\right)^2=2\left(x^2-y^2\right)+x^2+2xy+y^2+x^2-2xy^2+y^2\)
\(=2x^2-2y^2+2x^2+2y^2=4x^2\)
\(a,\left(x-2y\right)^2+\left(x+2y\right)^2\)
\(=\left(x^2-4xy+4y^2\right)
+\left(x^2+4xy+4y^2\right)\)
\(=2x^2+8y^2\)
\(b,2\left(x-y\right).\left(x+y\right)+\left(x+y\right)^2+\left(x-y\right)^2\)
\(=2\left(x^2-y^2\right)+\left(x^2+2xy+y^2\right)+\left(x^2-2xy+y^2\right)\)
\(=2x^2-2y^2+2x^2+2y^2\)
\(=4x^2\)
\(P=2\left(x^2-y^2\right)-x^2+2xy-y^2+x^2+2xy+y^2-4y^2\)
\(=2\left(x^2-y^2\right)-4y^2+4xy\)
\(=2x^2-2y^2-4y^2+4xy\)
=2x^2+4xy-6y^2
a) ( x + y)( x^2 - xy+ y^2 )- ( x - y)( x^2 + xy + y^2 )
= x^3 +y^3 - ( x^3 - y^3 )
= x^3 + y^3 - x^3 + y^3
= 2y^3
b; ( x - y)^2 + ( x + y)^2
= x^2 - 2xy + y^2 + x^2 + 2xy + y^2
= 2x^2 + 2y^2
a, \(x\left(x-y\right)+y\left(x-y\right)=x^2-xy+xy-y^2\)
\(=x^2-y^2\)
b, \(x^{n-1}\left(x+y\right)-y\left(x^{n-1}+y^{n-1}\right)\)
\(=x^n+x^{n-1}y-\left(x^{n-1}y+y^n\right)\)
\(=x^n+x^{n-1}y-x^{n-1}y-y^n=x^n-y^n\)
Chúc bạn học tốt!!!
a, x(x-y)+y(x-y)=(x-y)(x+y)
=\(x^2-y^2\)
b, \(x^{n-1}\left(x+y\right)-y\left(x^{n-1}+y^{n-1}\right)=x^{n-1+1}+xy^{n-1}-xy^{n-1}-y^{n-1+1}\)
=x\(^{x^n+xy^{n-1}-xy^{n-1}-y^n}\)
=\(x^n-y^n\)
tl muộn nhưng dễ hiểu hơn câu tl trc