(x²-y²+x+y)÷(x+y)

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(x²-y²+x+y)÷(x+y)
(x²-y²+x+y)÷(x+y)

(x²-y²+x+y)÷(x+y)
(x²-y²+x+y)÷(x+y)
=[(x+y)(x-y)+(x+y)]÷(x+y)
=(x+y)(x-y+1)÷(x+y)
=x-y+1

(x²-y²+x+y)÷(x+y)
=(x2-Y2)÷(x+y)+(x+y)÷(x+y)
(X-Y)(X+Y)÷(x+y)+1
X-Y+1

(x+y)(x+y+1)÷(x+y)=x+y+1

(x²-y²+x+y)÷(x+y)
=(x+y)(x-y+1)/(x+y)
=(x-y+1)

(x²-y²+x+y)÷(x+y)
=(x+y)(x-y+1)/(x+y)
=(x-y+1)

=<(x+y)(x-y)+(x+y)>÷(x+y)
=x-y+1

(x²-y²+x+y)÷(x+y)=[(x-y)(x+y)+(x+y)]÷(x+y)=[(x-y+1)(x+y)]÷(x+y)=x-y+1 Ps:x+y不等于零

x²-y²+x+y)÷(x+y)
=[(x+y)(x-y)+x+y]÷(x+y)
=[(x+y)(x-y)]÷(x+y)
+(x+y)÷(x+y)
=x-y+1