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• multiply everything by 5, so you get 6y - 30 = 10x + 12 - add 30 to both sides, so you get 6y = 10x + 42 - divide everything by 6, so you have y = (10/6)x + (42/6) - simplify, y= (5/3)x + 7 - this i...

To be able to differentiate this we need to use the product rule as we want to differentiate two functions multiplied together. The product rule states that if y=uv, then : dy/dx= u dv/dx + v du/dx. Let u...

In order to understand where that annoying "+C" term comes from that is so easily forgotten from the end of the solution, let's start with the general thought process of solving an indefinite in...

First of all we want to expand the brackets out. We do this by mulitplying 4 by each number in the bracket. This then gives us 14-x = 4+4x. We then want to get all the x's on one side and the numbers on t...

To expand brackets you should multiply each term with every other term. Here it would be: 3a²-3a+4a-4 Collecting the a terms, this simplifies to: 3a²+a-4.