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Let L be the least value of the expression 2 x- 2 x 1+ ( 5 2 -8 x ) if x (0, 8 ) and M denotes the value of 4 ( ^3 10^ + ^3 20^ ) ( 10^ + 20^ ) . Find the value of (L+M)

Correct answer

05

Step-by-step solution

L: Expression reduces to 2 cosec 8 x L = 2 M: We have aligned & 4 ( ^3 10^ + ^3 20^ ) ( 10^ + 20^ ) = 4 ^3 10^ +4 ^3 20^ 10^ + 20^ = 30^ +3 10^ +3 20^ - 60^ 10^ + 20^ & = 3 ( 10^ + 20^ ) ( 10^ + 20^ ) =3= M Ans. aligned Hence L+M=2+3=5

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