已知x^2+xy=6,y^2+xy=10 求(1)(x+y)^2 (2)x^2-y^2 (3)(x-y)2已知x^2+xy=6,y^2+xy=10 求(1)(x+y)^2 (2)x^2-y^2 (3)(x-y)^2

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已知x^2+xy=6,y^2+xy=10求(1)(x+y)^2(2)x^2-y^2(3)(x-y)2已知x^2+xy=6,y^2+xy=10求(1)(x+y)^2(2)x^2-y^2(3)(x-y)^

已知x^2+xy=6,y^2+xy=10 求(1)(x+y)^2 (2)x^2-y^2 (3)(x-y)2已知x^2+xy=6,y^2+xy=10 求(1)(x+y)^2 (2)x^2-y^2 (3)(x-y)^2
已知x^2+xy=6,y^2+xy=10 求(1)(x+y)^2 (2)x^2-y^2 (3)(x-y)2
已知x^2+xy=6,y^2+xy=10 求(1)(x+y)^2 (2)x^2-y^2 (3)(x-y)^2

已知x^2+xy=6,y^2+xy=10 求(1)(x+y)^2 (2)x^2-y^2 (3)(x-y)2已知x^2+xy=6,y^2+xy=10 求(1)(x+y)^2 (2)x^2-y^2 (3)(x-y)^2
(x+y)^2
=x^2+2xy+y^2
=x^2+xy+y^2+xy
=6+10
=16
x^2-y^2
=x^2+xy-(y^2+xy)
=6-10
=-4
(x-y)^2
=((x^2-y^2)/(x+y))^2
=(x^2-y^2)^2/(x+y)^2
=(-4)^2/16
=1

(X+Y)² =X²+2XY+Y² =6+10 =16
X²+XY -(Y²+XY) =X²-Y² =6-10 =-4

(x+y)^2=x^2+xy+y^2+xy=6+10=16
x^2-y^2=x^2+xy-(y^2+xy)=6-10=-4
(x-y)^2=x^2+y^2-2xy=x^2+y^2+2xy-4xy=(x+y)^2-4xy=16-4X(-4)=32

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