Question

What will be the value of p3 + q3 if pq=25 and
p+q=12?​

Answer 1

Answer:

p³+q³=(p+q) (p²-pq+q²)

=(12)(p²+q²-pq)

=12[(p+q)²-2pq-pq]                       {∵p²+q²=(p+q)²-2pq}

=12[(12)²-3(25)]

=12[144-75]

=12[69]

=828

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