1 Answers
ধরি,
F(x) = x³ - 3xy² + 2y³
F(y) = y³ -3y³ +2y³ = 0
অতএব, x-y এর একটি উৎপাদক।
এখন,
x³ - 3xy² + 2y³
= x³ - x²y + x²y - xy² -2xy² +2y³
= x²⁽(x-y) + xy(x-y) -2y²(x-y)
= (x-y)(x²+xy-2y²)
= (x-y)(x²-xy+2xy - 2y²)
=(x-y){x(x-y)+2y(x-y)}
=(x-y)(x+2y)(x-y)
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