Structureinexpressions1.42(20k)−7Whichofthefollowingisequivalenttotheaboveexpression?A.42(20+k)−7B.42(20k)-7C.20k⋅42−7D.(42·20k)-7CorrectAnswer:CDifficultLevel:22.(5j2k)3+(θ−3)Whichofthefollowingisequivalenttotheaboveexpression?A.(θ−3)+(125k3j6)B.(θ−3)+(5j2k3)C.(125k3j6)+(3−θ)D.(5j2k3)+(3−θ)CorrectAnswer:ADifficultLevel:23.(4s2t)3+(p−3)Whichofthefollowingisequivalenttotheaboveexpression?A.(43s23t3)+(p−3)B.(p−3)+(4s2t3)C.(12s2t)+(p−3)D.(p−3)+(64s6t3)CorrectAnswer:DDifficultLevel:24.x2−16(x−3)(x+6)÷(x+a)(a−x)x2+cx−18=−1Giventheequationabove,whatisthevalueofc?CorrectAnswer:3DifficultLevel:25.A3+B3=(C+8y)(D−40xy+E)Apartialfactorizationofasumofcubesisgivenabove.WhichofthefollowingisequivalenttoA+B?A.13xyB.20x+2yC.2.5x+8yD.5x+8yCorrectAnswer:DDifficultLevel:26.(x−y6)(x−y12)Whichofthefollowingisequivalenttotheaboveexpressionforx≠y?A.2B.12C.x−y2D.(x−y)272CorrectAnswer:ADifficultLevel:27.(n6k14)5Whichofthefollowingisequivalenttotheaboveexpression?A.(n2k5)3B.(n3)10(k2)7C.(n15k35)2D.(n5)5(k10)7CorrectAnswer:CDifficultLevel:28.abc+defWhichofthefollowingisequivalenttotheaboveexpression?A.abc+dfeB.abc+defC.bca+dfeD.bca+defCorrectAnswer:ADifficultLevel:29.Theexpression(x2+h2)(x2−h2)canbewrittenas(1+m−p)x4−mpwhereh,m,p,andbareconstants.Whatisonepossiblevalueofm?A.1B.hC.h2D.h4CorrectAnswer:CDifficultLevel:210.(a+b+c)(a−b−c)Whichofthefollowingisequivalenttotheaboveexpression?A.a(b+c)−(a+b)cB.a2(b+c)−(a+b)c2C.a2−(b+c)2D.(a+b)2−c2CorrectAnswer:CDifficultLevel:311.(3a+b)3(a+b)Whichofthefollowingisequivalenttotheaboveexpressionfora≠−b?A.1B.9C.1a2+b2D.1a2+2ab+b2CorrectAnswer:DDifficultLevel:312.abxyijmnWhichofthefollowingisequivalenttotheaboveexpression?A.(ax)(ℑ)(by)(jn)B.a(bm)nx(yi)jC.(ab)(ij)(xy)(mn)D.a(bx)yi(jm)nCorrectAnswer:BDifficultLevel:313.(a+b+c)2Whichofthefollowingisequivalenttotheaboveexpression?A.a2+b2+c2+2(ab+bc+ca)B.a2+b2+c2C.a2+2abc+c2D.a2+2ab+b2+2bc+c2CorrectAnswer:ADifficultLevel:314.xya+x2y2bWhichofthefollowingisequival...