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We can go about solving this problem by equating the coefficients of x^2, x, and the constant c. First of all, we must expand the bracket (5x + 3)(ax + b). One helpful way of doing this correctly is the F...

If a price goes up from £15 to £20, the price has increased. The rate of increased is solved by finding the difference in the change which is £5 (£20-£15). The percentage is gotten by £5/£15 *100% and the...

Completing the square is a process used to put a quadratic curve into a particularly nice form. The form we want is y(x) = r(x+s)^2 + t for some numbers r,s, and t. A 'general' quadratic we would expect t...

To integrate this, we use the product rule. Think of it as intergrate [ 1 x ln (x)]. As by the product rule we chose one to intergrate and one to differentiate. We intergrate 1 to get x. We differentiate ...

Multiplying indices is much easier then it first seems. First you need to undertand what an index or power is, A^2 (A to the power of 2) means AxA, A^3 (A to the power of 3) means AxAxA and so on. The dif...