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- If x + y = 2 and 1/x + 1/y = 18/15, then find the value of (x3 + y3)?
- If (a + b) = 17 and (a2 + b2) = 145, then find the value of (a × b).
- If a + b + c = 14 and ab + bc + ca = 60, then find the value of a² + b² + c².
- If 27 (x+y)³ − 8(x−y)³ = (x + 5y) (Ax² + By² + Cxy), then what is the value of (A+B-C)?
- If p3 + 9p2 + 8p + 13 = 6p2 + 5p + 12, then find the value of {(p4 + 1/p2)}/(p2 + 3p + 1).
- If (p/q) = (7/8) and (q/r) = (3/11), then the find the value of {(r – p)/(p + q)}.
- If (a2 + 1/a2) = 27, then find the value of (a3 - 1/a3).
- If (680 – 640 + 220) ÷ 12 + √2025 = x, then {(x/2) + 12} = ?
- If p = 28 - q - r and pq + r(p + q) = 231, then find the value of (p² + q² + r²).
- If a + b + c = 6, a² + b² + c² = 14 and ab + bc+ ca = 11, then what is the value of a³ + b³ +c³ –3abc?
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