WORKSHEET 11. Below is a list of some “simple” algebra problems. Some of the solutions are correct and some of themarewrong! For each problem:A. determine if the answer is correct;B. determine if there are any mistakes made in solving the problem and list them (notethat justbecause the answer is corrrect does not mean there are no mistakes);C. if there are mistakes, redo the problem correctly; if there are no mistakes, deviseANOTHERcorrect method to solve the problem.a)x2−1x+ 1=x2+ (−1)x+ 1=x2x+−11=x−1b) (x+y)2−(x−y)2=x2+y2−x2−y2= 0c)9(x−4)23x−12=32(x−4)23x−12=(3x−12)23x−12= 3x−12d)x2y52x−3=x2y5·2x3= 2x6y5e)(2x3+ 7x2+ 6)−(2x3−3x2−17x+ 3)(x+ 8) + (x−8)=(2x)2−17x+ 92x= 2x−17x+ 9 =−15x+ 9 =−6xf)x−1+y−1x−1−y−1=(x+y)−1(x−y)−1=x+yx−y−1=−x+yx−y=x+yy−x2. Solve the following inequalities. Whenever possible, use distance arguments.
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