Mathematics
Senior High
Resolved
I、2がなぜこのようになるのか教えてください🙇♀️
52 次の式を因数分解せよ。
(1) x3+ y³-3xy+1
(2) 1-8x³-18xy-27 y³
** (1) (x+y+1)(x² − xy + y² − x −y+1)
(2) (1—2x-3y)(4x²-6xy+9y²+2x+3y+1)
(1) (5)=x³+ y³+1³-3xy-1=(x+y+1)(x² + y²+1²-x.y—y.1-1.x)
=(x+y+1)(x² − xy + y² − x − y + 1)
(2)(与式)=13+(-2x)+(-3y)-3・1・(-2x)・(-3y)
={1+(−2x)+(−3y)}
x{1²+(−2x)²+(-3y) 2-1⋅(-2x)-(-2x)·(-3y)-(—3y)·1}
=(1—2x-3y)(4x²-6xy+9y²+2x+3y+1)
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ありがとうございます!