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When rationalising, multiply the fraction by the denominator - so what that means is multiply the fraction by the square rooted number over the square rooted number. The numerators then multiply to give 6...

x²+4x-21= 0,  This can be factorised into brackets as shown: (x+2)² - 4 - 21 = 0 SImplified, so all x's are on one side of the equation: (x+2)² = 25, Removing square root,...

dy/dx= (2 * 8)x^(2-1) +4 = 16x + 4

The answer is -3x + 2 + 9/(2x-3). That is A = -3, B = 2 and C = 9.

I will use the whiteboard during my interview to explain the working.

I will attach a file with the solution during the interview because it is difficult to type the solution in here.