Binomial Theorem The constant term in the expansions of (px^(3) + (q)/(x ^(3) ) )^(8) and (p {x}^(2) + \frac{q}{ {x}^(2) } ) ^(4) are equal, and p and q are both greater than zero. Express p in terms of

asked Jun 13, 2022 101k views

15 votes

Binomial Theorem

The constant term in the expansions of

(px^(3) + (q)/(x ^(3) ) )^(8)

and

$(p {x}^(2) + \frac{q}{ {x}^(2) } ) ^(4)$
are equal, and p and q are both greater than zero. Express p in terms of q.

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9 votes

Answer:

(p^(4) x^(24)+6p^(2)q^(2)x^(12)+q^(4)+4p^(3)qx^(18)+4pq^(3)x^(6))/(x^(12) )

Explanation:

Planetenkiller answered Jun 17, 2022