a)\(x^3-4x^2+4x\)
\(=x\left(x^2-4x+4\right)\)
\(=x\left(x-2\right)^2\)
b)\(x^4-4x^3+4x^2\)
\(=x^2\left(x^2-4x+4\right)\)
\(=x^2\left(x-2\right)^2\)
c,d tương tự
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Bài làm
a) x3 - 4x2 + 4x
= x( x2 - 4x + 4 )
= x( x - 2 )2
b) x4 - 4x3 + 4x2
= x2( x2 - 4x + 4 )
= x2( x - 2 )2
c) 2x2 - 4xy + 2y2 - 8y2
= 2( x2 - 2xy + y2 - 4y2 )
= 2[ ( x - y )2 - 4y2 ]
= 2( x - y - 2y )( x - y + 2y )
= 2( x - 3y )( x + y )
d) x3 + x + 3x2y + 3xy2 + y3 + y
= ( x3 + 3x2y + 3xy2 + y3 )( x + y )
= ( x + y )3 ( x + y )
= ( x + y )[ ( x + y )2 + 1 ]
# Học tốt #
