SSC Selection Post Matric 20221)[(4a — 5b)3 + (5b — 3c)3 — (4a — 3c)3] is equal to:
-3(4a - 5b)(5b - 3c)(4a - 3c)
SSC Selection Post Matric 20222)Find the value of (a — 2x)3 + (b — 2x)3 + (c — 2x)3 — 3(a — 2x)(b— 2x)(c— 2x) given that a + b + c = 6x.
0
SSC Selection Post Matric 20223)If a : b = 7 : 4, then find (2a + 7b) : (7b — 2a).
3 : 1
SSC Selection Post Matric 20224)If x = 3 - 4y, then \((x^3+64y^3+36xy)\) is equal to:
27
SSC Selection Post Matric 20225)If \({x ^ {1 \over 3}} - {y ^ {1 \over 3}} = {z ^ {1 \over 3}}\), then find the value of (x - y - z)3 - 27xyz.
0
SSC Selection Post Matric 20226)If \( { \sqrt{x}- {1 \over \sqrt{x}}} = \sqrt7\) , then the value of \(x^3 + {1 \over x^3}\) is:
702
SSC Selection Post Matric 20227)If 2x2 + 5x - 1 = 0, then what is the value of \(x^3 -\frac{1}{{8{x^3}}}\) ?
\(- \frac{155}{8}\)
SSC Selection Post Matric 20228)If (7x - 3)3 + (x + 2)3 + 27(2x + 5)3 = 9(7x - 3) (x + 2) (2x + 5), then (9x + 13) : (5x + 7) = ?
2 : 1
SSC Selection Post Matric 20229)If \(x+ {1\over x}=4\), x > 0, then what is the value of \((x^4 + \frac{1}{x^2}) \div (x^2 + 8x + 1)\)?
\(\frac{13}{3}\)
SSC Selection Post Matric 202210)If a + b + c = 1, and a3 + b3 + c3 = 55, and ab + bc + ca = -10, then what is the value of 5abc?
40