2. (a) Factorize the following expression completely. 12n - Amn (1 mark) (i) Show that - 4x = X(4x -3) 1-x (b) (ii) Hence, solve the equation - 4x - 0. (c) Make v the subject of the formula p = V5 + vt . The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling. A car travelling at a speed of 70 km/h requires a distance of 40 m to make a stop. What distance is required to stop a car travelling at 80 km/h? (d)

Q: (y squared minus 2y over 7 plus 1 over 49)

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Q: Make x the subject of the formula- y = (4x+7)/5

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Q: Vx-2 = 3/x+2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.