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To help the student understand how to expand the brackets I would start by splitting the equation to:3x²(x - 3) + 6x(x - 3) + 7(x - 3)I then would ask the student to expand these brackets to:3...

To find a gradient at a given point, first we differentiate then we sub in the x coordinate of the point. To differentiate 4(8x+2)⁴ we must use the chain rule. First we let u=...

Here we have an example of a quadratic equation in terms of x. Start by manipulating the equation until it is equal to 0: subtract 2(x^2) from both sides to get (x^2)+2x-4=3x+8. Then subtract 3x from both...

First split the question into two integrals, the integral of 3x^2 and the integral of cos(x).We'll tackle the first integral first, you have to think what value would differentiate to give 3x^2. We can se...

attached is a word document including my question an answer as I wanted to include diagrams. the question is a M2 question