Work out 7/(2x^2) + 4/3x as a single fraction in its simplest form.

7/2x2 + 4/3x = 21/6x2 + 8x/6x2 = ( 8x + 21 ) / ( 6x2 )

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x^3 + 2x^2 - 9x - 18 = (x^2 - a^2)(x + b) where a,b are integers. Work out the three linear factors of x^3 + 2x^2 - 9x - 18. (Note: x^3 indicates x cubed and x^2 indicates x squared).


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How many different ways are there to seat 6 people at a round table?


Find the solution of 3^{4x} = 9^{(x-1)/2}.


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