How to do q9 2nd part
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alpha^2/beta + beta^2/alpha
LCM-> alpha*beta
so,
alpha^3+beta^3/alpha*beta
now, using the identity
(alpha+beta)^3-3alpha*beta(alpha+beta)/alpha*beta
now,
alpha+beta=-b/a
alpha*beta=c/a
putting up the values
(-b/a)^3-3*c/a(-b/a) / c/a
-b^3/a^3+bc/a^2 / c/a
-b^3/a^3+bc/a^2*a/c
LCM-> alpha*beta
so,
alpha^3+beta^3/alpha*beta
now, using the identity
(alpha+beta)^3-3alpha*beta(alpha+beta)/alpha*beta
now,
alpha+beta=-b/a
alpha*beta=c/a
putting up the values
(-b/a)^3-3*c/a(-b/a) / c/a
-b^3/a^3+bc/a^2 / c/a
-b^3/a^3+bc/a^2*a/c
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