(√3)^2+4*(-1/2)-2^3+三倍√27
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(√3)^2+4*(-1/2)-2^3+三倍√27

=3-2-8+9倍√3

=9倍(√3)-7

[x(x^2y^2+xy)-y(x^2-x^3y)]/2x^2y

=(x^3y^2+x^2y-x^2y+x^3y^2)/2x^2y

=2x^3y^2/2x^2y

=xy

(x+7)(x+5)-(x+1)(x+5)=42

(x+5)(x+7-x-1)=42

6(x+5)=42

x+5=42/6

x=42/6-5

x=7-5

x=2

-a+2a^2-a^3

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

=-a(a-1)^2

9(x+y)^2-4(x-y)^2

=9(x^2+2xy+y^2)-4(x^2-2xy+y^2)

=5x^2+26xy+5y^2

=(5x+y)(x+5y)

ab-a+b-1

=a(b-1)+(b-1)

=(a+1)(b-1)

a^3-ab^2

=a(a^2-b^2)

=a(a+b)(a-b)

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

=(a+1)(3a+3-2a+1)

=(a+1)(a+4)

=(-1+1)(-1+4)

=0

[2x(x^2y-xy^2)+xy(xy-x^2)]/x^2y x=2008,y=2004

(2x^3y-2x^2y^2+x^2y^2-x^3y)/x^2y

=(x^3y-x^2y^2)/x^2y

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

=x-y

=2008-2004

=4