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To get an example of what this question is asking: the expansion of (1+x)^2 can be found by distributing and gives 1+2x+x^2. The coefficient of the x^2 term here would be 1, and for the x^1 term it would ...

We start with parametric equations of x=2t+3 and y=3t^2+3t+2. To find dy/dx, we need to work out either (dy/dt)/(dx/dt) or (dy/dt)*(dt/dx). This makes the dt's cancel each other out, allowing us to ...

To start, we understand that partial fractions are used so that we can more easily integrate a function. When you add two fractions together, you consider both denominators and find the LCM ; partial frac...

a) First deduce that problem can be solved by inspection. Then use the fact that the derivative of tan3x equals 3sec^2(3x) and adjust for the constant. (Note this fact should be given in a formula booklet...

. If (5x+2) is a factor of f(x), then f(-2/5) = 0 (factor theorem).. f(-2/5) = 10(-2/5)^{3} - 21(-2/5)^{2} -70(-2/5) -24 = 0.. Therefore (5x+2) is a factor of f(x).. Next factorise f(x) by...