find L.c.m. of the expressions x cubic -8x cubic +2x square -8x where x cubic +2x square -8x =x (x+4) (x-2)
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ANSWER:2√2
STEP BY STEP EXPLANATION:
x cubic -8x cubic +2x square -8x =0
x cubic +2x square -8x -8x cubic =0
x(x+4)(x-2) -8x cubic=0 (because it is given that x cubic +2x square -8x =x (x+4) (x-2)
x(x+4) (x-2) =8x cubic
(x+4) (x-2) =8x cubic/x
(x+4) (x-2) =8x square
(x+4) (x-2)/8 =x square
√(x+4) (x-2) /√8=x
so,
√(x+4) (x-2) /2√2=x
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