因式分解x²-3xy+2y²-2x+3y+1x四次方+4

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因式分解x²-3xy+2y²-2x+3y+1x四次方+4

因式分解x²-3xy+2y²-2x+3y+1x四次方+4
因式分解x²-3xy+2y²-2x+3y+1
x四次方+4

因式分解x²-3xy+2y²-2x+3y+1x四次方+4
x²-3xy+2y²-2x+3y+1
=(x-y)(x-2y)-(2x-3y)+1
=(x-y-1)(x-2y-1)
x⁴+4
=(x²)²+2²+4x²-4x²
=(x²+2)²-(2x)²
=(x²+2x+2)(x²-2x+2)

x²-3xy+2y²-2x+3y+1
=(x-y)(x-2y)-(2x-3y)+1
=(x-y-1)(x-2y-1)

.x²-3xy+2y²-2x+3y+1
=(x-y)(x-2y)-(2x-3y)+1
=(x-y-1)*(x-2y-1)
x^4+4
=(x^4+4x^2+4)-4x^2
=(x^2+2)^2-4x^2
=(x^2+2+2x)(x^2+2-2x)