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How do you expand out and simply brackets, like the following: (x-3)(x+4)?

So when you want to expand out 2 brackets, there's a really simple method, known as FOIL. FOIL stands for "First, Outer, Inner, & Last". So if we look at the two brackets you gave as an example...
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Answered by Chang K. • Maths tutor
4051 Views

How do I find the nth term of a sequence?

When given a sequence of numbers, there is often a rule using n, which symbolises the term of the sequence. For example in the sequence 3, 5, 7, 9, when n=1 it is referring to 3, since this is the first term...
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Answered by Katie R. • Maths tutor
8076 Views

Solve algebraically the following if there is a solution: x+y=3 2x+y=5 x^2+y=6

First we realize that the question asks IF there is a solutionLet us start with the simplest equations, x+y=3 and 2x+y=5By subtracting the first equation from the second we see x=2 and subbing into x+y=3 we ...
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Answered by Max S. • Maths tutor
3484 Views

2(x^2)y + 2x + 4y – cos (PI*y) = 17. Find dy/dx using implicit differentiation.

This tests the students knowledge of differentiation rules as well as algebraic manipulation. Namely the product rule and implicit differentiation. Differentiate term by term and then isolate dy/dx using alg...
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Answered by Robbie M. • Maths tutor
3523 Views

when given that y is 20% bigger than x, how can you express this as a ratio of y to x?

First of all, as with every question, we need to write down the information we have. so we know that y is 20% bigger than x meaning y=1.2x. this is because to increase x by 20% you need to multiply by 1.2 wh...
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Answered by Samson G. • Maths tutor
11137 Views