Toán Lớp 8: Phân tích đa thức thành nhân tử
( x – y ) – x^3( 1 – y ) + y^3( 1 – x )
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Toán Lớp 8: Phân tích đa thức thành nhân tử
( x – y ) – x^3( 1 – y ) + y^3( 1 – x )
Comments ( 2 )
= x – y – x^3 + x^3y + y^3 – xy^3
= (x – y )- (x^3 – y^3 ) + (x^3y – xy^3 )
= (x – y )- (x – y )( x^2 +xy +y^2 )+ xy(x^2 – y^2 )
= (x – y )- (x – y )( x^2 +xy +y^2 )+ xy(x – y)(x + y)
= (x – y )[1- x^2 -xy -y^2 – xy(x + y)]
= (x – y )[1- x^2 -xy -y^2 – x^2y- xy^2) ]