关于分解因式的几个题x^2+4xy-4y^28a^3-b^3x^2-2x-14(x-y+1)+y(y-2x)a^3+14
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x^2+4xy-4y^2

=[x+(2√2-1)y][x+(2√2+1)y]

补:x^2+4xy+4y^2

=(x+2y)^2

8a^3-b^3

=(2a-b)(4a^2+2ab+b^2)

x^2-2x-1

=(x-1)^2-2

=(x-1+√2)(x-1-√2)

补:x^2-2x+1

=(x-1)^2

4(x-y+1)+y(y-2x)

=4(x-y+1)+y^2-2xy

=y^2-4y+4x-2xy+4

=(y-2)^2-2x(y-2)

=(y-2)(y-2x-2)

a^3+1

=(a+1)(a^2-a+1)

4x^4-13x^2+9

=(4x-9)(x-1)

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