(y^2-39/y^2+3y-10)-(y-7/y-2)

Subtract and simplify
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1 Answer

y2+3y-10=(y-2)(y+5), so we can write the expression:

(y2-39)/[(y-2)(y+5)]-(y-7)/(y-2)=

(1/[(y-2)(y+5)])(y2-39-(y-7)(y+5))=

(1/[(y-2)(y+5)])(y2-39-y2+2y+35)=

(1/[(y-2)(y+5)])(2y-4)=

(2y-4)/[(y-2)(y+5)]=2/(y+5).

by Top Rated User (1.2m points)

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