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In situations like this I would always find it best to draw a diagram with all the information we know labelled on it. Firstly, however, notice that our measurements are in different units. You can conver...

This question can be treated like a normal binomial expansion question which is commonly seen at A level. The standard binomial expansion is (1+x)ⁿ = 1 + nx + (n(n-1)(x²))/2! where 2...

This is simpler than you think when you break it down. Just multiply both the numerators (the top number of your fraction) together for the new numerator of the fraction in your answer. Then do the same f...

>First know that you must differentiate to find the gradient. To differentiate this function you must use the product rule which is:>d/dx(f(x)g(x))=f(x)g'(x)+f'(x)g(x)>Now apply this rule to the ...

(2x + 3)/(x+4) - (3x - 6) = 4 Initial equationTimes all terms by (x + 4) (2x + 3) - (3x - 6)(x + 4) = 4 (x + 4)Multiply out the brackets (2x + 3) - (3x² + 12x - 6x - 24) = 4x + 16Remove from br...