Question
Calculate the value of the expression: {2 X
(P3 - Q3) - 30 X P X Q} if (P - Q) = 6 and (P2 + Q2) = 80Solution
Given, (P - Q) = 6
So, (P - Q)2 = 62
Or, P2 + Q2 - 2PQ = 36
Or, 2PQ = 80 - 36
So, PQ = (44/2) = 22
Now, Since, (P3 - Q3) = (P - Q)(P2 + Q2 + PQ)
So, (P3 - Q3) = 6 X (80 + 22) = 6 X 102 = 612
ATQ, So, {2 X (P3 - Q3) - 30 X P X Q} = (2 X 612) - 30 X 22
= 1224 - 660 = 564
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