作业帮x^4+12x^3y+37x^2y^2+12xy^3+y^4分解因式,急爆了!
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x^4+12x^3y+37x^2y^2+12xy^3+y^4分解因式,急爆了!
x^4+12x^3y+37x^2y^2+12xy^3+y^4分解因式,急爆了!
x^4+12x^3y+37x^2y^2+12xy^3+y^4分解因式,急爆了!
x^4 + 12x"'y + 37x"y" + 12xy"' + y^4
= (x")" + 2x"y" + (y")" + 12xy( x" + y" ) + 35x"y"
= ( x" + y" )" + 5xy( x" + y" ) + 7xy( x" + y" ) + 35x"y"
= ( x" + y" )( x" + y" + 5xy ) + 7xy( x" + y" + 5xy )
= ( x" + y" + 5xy )( x" + y" + 7xy )
或者
= (x")" + 2x"y" + (y")" + 12x"'y + 12xy"' + 35x"y"
= ( x" + y" )" + 12xy( x" + y" ) + (6xy)" - 36x"y" + 35x"y"
= ( x" + y" + 6xy )" - x"y"
= ( x" + y" + 5xy )( x" + y" + 7xy )
=x^4+2x²y²+y²+12x³y+12xy³+35x²y²
=(x²+y²)²+12xy(x²+y²)+35x²y²
=(x²+y²+5xy)(x²+y²+7xy)
(x^2+5xy+y^2)(x^2+7xy+y^2)
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