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More Algebra Questions
- If a + b + c = 6, a² + b² + c² = 14 and ab + bc+ ca = 11, then what is the value of a³ + b³ +c³ –3abc?
- If [x + (1/x) ] = 3, then find the value of [x 3 + (1/x 3) ].
- If p = 35 - q - r and pq + r(q + p) = 315, then find the value of (p² + q² + r²).
- If (5x - 2y) = 170 and 4x:3y = 32:9, then find the value of (3x² + y²).
- If a + b = 56 and (a – b)² = 496, find the value of the product of a and b.
- If (x - y) = 5, then find the value of (x³ - y³ - 15xy).
- (x – 6) 2 + (y + 2) 2 + (z – 4) 2 = 0, then find the value of 4x - 3y + z.
- Find the value of ‘x’ in the given expression: (49/16)x × (64/343)x-1 = 4/7
- If (x –4)3+(x–5)3+(x–6)3 = 3(x–4)(x–5)(x–6), Then x = ?
- If x : y : z = 6 : 7 : 11, and (2x + 3z) = 180, then find the value of y.
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