How would you use the following expression to approximate [(4-5x)/(1+2x)(2-x)] when x=5 (A2 pure)

So I cant really answer this question over text however, the method would be using partial fractions to split the two fractions into two, then using a binomial expansion, but the indicies will be negative so you'd have to be careful how you expand. Then once you have expanded the fractions you would simply plug 5 into the polynomial formed and that would be the answer. This question would be specifically for A2

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∫(1 + 3√x + 5x)dx


make into a cartesian equation= x=ln(t+3) y= 1/t+5


Use Implicit Differentiation to find dy/dx of the following equation: 3(x)^2 + 8xy + 5(y)^2 = 4


Simplify: (3x+8)/5 > 2x + 1


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