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Question

Simplify:

(i) 138×1213+-49×3-2
(ii) 1615×-258+-1427×67
(iii) 655×-229-26125×-1039
(iv) -127×-1427--845×916

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Solution

(i)(13182 × 123131) + (4293 × 3121)=32 + 23L.C.M. of 2 and 3 is 6.=9 + 46136(ii)(1615×258) + (1427×67)=(162153×25581) + (14227×671)=[23×(5)1] + [(2)27×61]=(10)3+(124)279=103+49L.C.M. of 3 and 9 is 9.=3049=349(iii)(655×229)(26125×1039)=(62555×22293)(26212525×102393)=[(4)15(4)75]=415+475L.C.M. of 15 and 75 is 75.=20+475=1675(iv)(12471×142279)(81455×91162)=[(4)1×(2)9][15×12]=89+110L.C.M. of 9 and 10 is 90.=80+990=8990

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