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Firstly, this is a classic GCSE question that crops up time and again, so it's worth making sure that you can expand brackets blindfolded and with your arms tied behind your back before you walk into t...
Firstly, to expand an equation like this, you must multiply the brackets by the number outside of the brackets. Make sure that you multiply every number inside the bracket by the number directly outsid...
The chain rule is used to differentiate composite functions, ie "a function of a function". In this case we have an outer function and an inner function. For example
Differentia...
cos(AOB) = a.b/(|a| x |b|)
a.b = (6i - j + 3k).(-4i + 2j + 10k)
= (6 x -4...
Eq1: 3x + 4y = 17
Eq2: 4x + y = 14
Eq2 x 4: 16x + 4y = 56
Subtract Eq1 from this to isolate x: 16x + 4y - 3x - 4y = 56 - 17
Simplify: 13x = 39
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