因式分解x2+4xy-4y2 x2-2(根号2)x-3

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因式分解x2+4xy-4y2x2-2(根号2)x-3因式分解x2+4xy-4y2x2-2(根号2)x-3因式分解x2+4xy-4y2x2-2(根号2)x-3x2+4xy-4y2=(x^2+4xy+4y

因式分解x2+4xy-4y2 x2-2(根号2)x-3
因式分解x2+4xy-4y2 x2-2(根号2)x-3

因式分解x2+4xy-4y2 x2-2(根号2)x-3
x2+4xy-4y2
=(x^2+4xy+4y^2)-8y^2
=(x+2y)^2-8y^2
=(x+2y+2√2y)(x+2y-2√2y)
x2-2(根号2)x-3
=x^2-2√2x+2-5
=(x-√2)^2-5
=(x-√2+√5 )=(x-√2-√5)

x²-4xy+2y²
=(x-2y)²