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If alpha,beta are the roots of the quadr...

If `alpha,beta` are the roots of the quadratic equation `x^2+px+q=0`, then the values of `alpha^3+beta^3` and `alpha^4+alpha^2beta^2+beta^4` are respectively

A

`3pq-p^3`and `p^4-3p^2q+3q^2`

B

`-p(3q-p^2)` and `(p^2-q)(p^2+3q)`

C

pq-4 and `p^4-q^4`

D

`3pq-p^3` and `(p^2-q)(p^2-3q)`

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The correct Answer is:
D
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