Math 017 Materials With Exercises

Ex. 9 Rewrite the following expressions placing the multiplication sign „ ' whenever (according tothe convention) it was omitted. Then, identify all explicit factors.a) 2 ab) 3(a b)c) 3x 2d) 4(x y)(b c)yEx.10 Rewrite each of the following expressions in its equivalent form using xy yx . Use the equalsign to indicate that the resulting expression is equivalent to the original one (for example, theexpression 9Ashould be rewritten as 9A A9). Remember about parentheses.a) mn b) 5 7c) cdd) c( a d)Ex.11 a) Rewrite the expression vst in its equivalent form by changing the order of its factors tocreate three new equivalent expressions. Indicate their equivalence by using the equal sign (forexample, one of the answers might be vst tsv ).b) Repeat the above exercise for v ( x y)t .Ex.12 a) Is AB equivalent to BA ? How about 3ABand 3BA, 3ABand BA (3)? Why?b) Is 3ABequivalent to BA 3? Why? Support your answer by evaluating both expressionswhen A 1 and B 2 .Ex.13 Is ab 2 equivalent to 2 ab ? How about ab 2 and 2 ba?Why? How about( mn 4)( a b)and ( b a)(4 nm)? Why?Ex.14 According to the rules for adding and subtracting fractions, we havea bca b a b (assume c 0 ) Rewrite each of the expressions below as a sum or a difference of twoc c cexpressions. Use equal signs to indicate that the resulting expressions are equivalent to the originalones (for example, the expressiona)c)2 57a 2a ba b a bEx.15 Using the fact that andc c cexpressions as a single fraction. Do not simplify.na)4 425m2nc) 4c 2 4c 22 t2 t 2should be rewritten as t ).33 3 3a 6b)32b cd)2ab ca bc2m 7m n b) 4 4d)A B C2x xacbcacbcand(assume c 0 ), rewrite the following33