AP EAMCET201822 Apr 2018Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

^3 110^ + ^3 10^ + ^3 130^ =

Options

A3 4
B3 8
C3 3 8
D3 3 4

Correct answer

C. 3 3 8

Step-by-step solution

^3 10+ ^3 110+ ^3 130^ We know that, ^3 x+ ^3(120-x)+ ^3(120+x)= 3 4 3 x Here, x=10 Now, ^3 10+ ^3 110^ + ^3 130^ aligned & = ^3 10+ ^3 (120^ -10^ ) ^3 (120^ +10^ ) & = ( 3 4 ) (3 10^ )= 3 4 30^ = 3 4 3 2 = 3 3 8 aligned

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