A scientist is modeling the growth rate VVV of a bacterial colony in terms of the concentration of a specific nutrient xxx. The relationship for x>0x > 0x>0 and x≠49x \neq 49x=49 is given by:
V=10.5+7x−1.5x12−x327−x V = \frac{10.5 + 7x - 1.5x^{\frac{1}{2}} - x^{\frac{3}{2}}}{7 - \sqrt{x}} V=7−x10.5+7x−1.5x21−x23Fully simplify the expression for VVV, justifying each step of your factorisation.
Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
