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find the lcm of (
x³ + x² + x + 1 ) and ( x³ - x² + x - 1
) ---------------------------------------------- ----------------------------------------------- factorise the polynomials and collect the least common multiple answer and some steps are given below ================ * * ================ x³ + x² + x + 1 = x² ( x + 1 ) + 1 ( x + 1 ) = ( x + 1 )( x² + 1 ) x³ - x² + x - 1 = x² ( x - 1 ) + 1 ( x - 1 ) = ( x - 1 )( x² + 1 ) LCM = ( x + 1 ) ( x - 1 ) ( x² + 1 ) = ( x² - 1 )( x² + 1 ) = [(x^4) - 1 ] trig. formulae |
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