คำตอบ

(7)
4(x-y)²-x²-2xy-y²
= 4(x-y)²-(x²+2xy+y²⁾
= 2²(x-y)²-(x+y)²
= (2(x-y)²-(x+y)²
= (2(x-y)+(x+y))(2(x-y)-(x+y))
= (3x-y)(x-3y)

(10)
1-x²-2xy-y²
= 1-(x²+2xy+y²)
= 1²-(x+y)²
= (1+(x+y))(1-(x+y))
= (1+x+y)(1-x-y)

(11)
4x²-12x+9-y²
= (4x²-12x+9)-y²
= (2x-3)²-y²
= (2x+y-3)(2x-y-3)

全部同じパターンの問題です。

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