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Maths
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How do you simplify something of the form Acos(x) + Bsin(x) ?

This sort of question is quite common, and a little bit complicated, so the explanation is quite long! But it's a great one to understand. There are a few tricks you need to know to be able to do...

JM
Answered by Jack M. • Maths tutor
13404 Views

How do you complete the square?

Say you start with a general equation of x2+ax+b=0. (If the x2 has a coefficient the you will need to divide by that first.)

You need to move to the equation (x+a/2)2

BC
Answered by Bryony C. • Maths tutor
2719 Views

How do you factorise?

Factorising is just simplyfying into brackets. To do this you need to find common terms on all the parts of the question. For example: fully factorise 3a3b+12a2b2+...

EW
Answered by Elizabeth W. • Maths tutor
6532 Views

Given f(x)=(x^3-7)*(x+4)^5, find the term x^3 of f(x).

Before starting to solve this problem, student should acknowledge that there are more than a variable, which satisfies the condition x^3. There are two ways to obtain this answer: (1) x^3 in the first mul...

AH
Answered by Amina H. • Maths tutor
1247 Views

f(x) = (4x + 1)/(x - 2) with x > 2. Find a value for 'x' such that f'(x) (first derivative of f(x) with respect to x) is equal to -1.

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