Differentiate 8x^3+4x^2+2
24x^2+8x
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Express 4x/(x^2-9)-2/(x+3) as a single fraction in its simplest form
a) Solve the following equation by completing the square: x^(2)+ 6x + 1= 0. b) Solve the following equation by factorisation: x^(2) - 4x - 5 = 0 c) Solve the following quadratic inequality: x^(2) - 4x - 5 < 0 (hint use your answer to part b)
Given that 3^(-3/2) = a* 3^(1/2), find the exact value of a.