NAMEPRE TEST1. Here is a list of some algebraic expressions that have been “simplified.” Some steps in thesimplification processes are correct and some of them are WRONG! For each problem:(a) Determine if the simplified result is correct.(b) Determine if there are any mistakes made in the simplication process. (NOTE: justbecause the result is correct does not mean there are no mistakes).(c) If there are mistakes, redo the problem correctly. If there are no mistakes, redo theproblem with another correct method.(i)x2− 1x + 1=x2+ (−1)x + 1=x2x+−11= x − 1(ii) (x + y)2− (x − y)2= x2+ y2− x2− y2= 0(iii)9(x − 4)23x − 12=32(x − 4)23x − 12=(3x − 12)23x − 12= 3x − 120Turn page. More problems on reverse side.(iv)x2y52x−3= x2y5· 2x3= 2x6y5(v)(2x3+ 7x2+ 6) − (2x3− 3x2− 17x + 3)(x + 8) + (x − 8)=4x2− 17x + 92x= 2x − 17 +92x(vi)x−1+ y−1x−1− y−1=(x + y)−1(x − y)−1= x + yx − y!−1= −x + yx − y=x + yy −
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