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When either adding or subtracting fractions from one another, the denominators have to be the same. Find the lowest common multiple;3*4 = 12then because you multiplied 3 and 4, you also have to multiply t...

Firstly we need to find the stationary point on the curve. We know what at a stationary point the gradient is zero so we will find the gradient of the curve. We do this by differentiation, when we have di...

There are many options, but substitution is the one we will go through for this example first. Lets say you have 3x+4y = 10 and x+2y = 6In this case substitution would be easiest because you have a singul...

Integration by parts should be used when you want to integrate a function composed of two factors (we can call them 'u' and 'dv'), where it is fairly easy to derive 'u', while it is difficult or impossibl...

Firstly we rearrange the expression to the required form:x² + y² + 20x - 14y + 49 = 0 which gives (x + 10)² - 100 + (y - 7)² - 49 + 49 = 0 and so ...