" If "(x^(3)-1)(x+1),(x^(3)+1)

Find the LCM and GCD for the following and verify that f(x)timesg(x)=LCMtimesGCD (x^(3)-1)(x+1), x^(3)+1

Resolve the following into partial fractions. (x^(3) + x^(2)+1)/ ((x-1) (x^(3)-1))

Resolve the following into partial fractions. (x^(3) + x^(2)+1)/ ((x-1) (x^(3)-1))

Resolve (x^(3)+x^(2)+1)/((x-1)(x^(3)-1)) into partial fractions.

(b) If (x^(2)+1)/(x)=3(1)/(3) and x>1 ; find x^(3)-(1)/(x^(3))

If (x^(2) + 1)/(x)= 3(1)/(3) and x gt 1 , find x^(3)- (1)/(x^(3))

If (x^(2) + 1)/(x)= 3(1)/(3) and x gt 1 , find x- (1)/(x)

Coefficient of the constant term in the expansion of E=(x^(2/3)+4x^(1/3)+4)^(5)((1)/(x^(1/3)-1)+(1)/(x^(2/3)+x^(1/3)+1))

if |{:(1,,x,,x^(2)),(x,,x^(2),,1),(x^(2),,1,,x):}|=3 then find the value of Delta_(c)=|{:(x^(3)-1,,0,,x-x^(4)),(0,,x-x^(4),,x^(3)-1),(x-x^(4)-1,,x^(3)-1,,0):}|