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Simplify \(\frac{x(x + 1)^{-\frac{1}{2}} - (x + 1)^{\frac{1}{2}}}{(x + 1)^{\frac{1}{2}}}\)
Express \(\frac{1}{x + 1}\) - \(\frac{1}{x - 2}\) as a single algebraic fraction
Solve the pair of equation for x and y respectively \(2x^{-1} - 3y^{-1} = 4; 4x^{-1} + y^{-1} = 1\)
Factorize completely \(y^3 -4xy + xy^3 - 4y\)
Simplify \(\frac{324 - 4x^2}{2x + 18}\)
Solve for a positive number x such that \(2^{(x^3 - x^2 - 2x)} = 1\)
If \(f(x) = 2x^2 - 5x + 3\), find f(x + 1).
The cost of dinner for a group of students is partly constant and partly varies directly as the number of students. If the cost is N74.00 when the number of students is 20 and N96.00 when the number of students is 30, find the cost when there are 15 students
Make R the subject of the formula S = \(\sqrt{\frac{2R + T}{2RT}}\)
What are the values of y which satisfy the equation \(9^{y} - 4 \times 3^{y} + 3 = 0\) ?
Find p in terms of q if \(\log_{3} p + 3\log_{3} q = 3\)
Simplify \(4 - \frac{1}{2 - \sqrt{3}}\)
Oke deposited N800.00 in the bank at the rate of 12\(\frac{1}{2}\)% simple interest. After some time the total amount was one and half times the principal. For how many years was the money left in the bank?