My name is Jamie and I am a 4th year Civil Engineering Student at Bristol University. I also spent my year abroad at McGill University in Canada. I have a real passion for Maths and Science, and love to share this passion with my students.
I am a relaxed and friendly character and have been tutoring for a long time. This will help us be efficient in the lessons and help you understand the material quickly.
With 4 A*s at A-Level, I am able to teach Maths, Further Maths, Physics and Chemistry, at either GCSE or A-Level.
Outside of university I am a keen Windsurfer and am heading out to Greece this summer to teach in a resort out there.
The lazy way of tutoring is to constantly feed the correct solutions to memorise, i will NOT take this approach. Together we will understand the question and the theory behind it. Then by prompting, hinting and guiding in the right direction, we will arrive at the solution.
Just like solving puzzles, Maths and Science can be fun if it's flowing and easy, and that will be the approach I take.
I'm excited to meet you!
|Further Mathematics||A Level||£30 /hr|
|Maths||A Level||£30 /hr|
|Physics||A Level||£30 /hr|
|Before 12pm||12pm - 5pm||After 5pm|
Please get in touch for more detailed availability
Devell (Student) May 20 2016
Devell (Student) May 12 2016
Stuart (Parent) May 5 2016
Devell (Student) May 5 2016
Expand and simplify (5x – 2y)(3x – 4y)
In this question, we are asked to 'expand' out the brackets. What this means is we need each term in one set of brackets (5x and -2y) to be multiplied by each term in the other set of brackets (3x and -4y).
So let's take this step-by-step.
We're going to use a simple technique which will help us in any future questions where we need to expand brackets. This is the FOIL technique:
F = first
O = outside
I = inside
L = last
1) We start from F of FOIL by multiplying together both of our first terms.
These are 5x and 3x because if we look at each bracket separately, these are the two individual terms that come first:
5x*3x = 15x^2
(5 times 3 = 15 and x times x = x^2)
2) Next we use O of FOIL by multiplying together the terms on the outside of the brackets.
These are 5x and -4y because when both brackets are side by side, we can see that these terms are on the outer part of the equation.
5x*-4y = -20xy
(5 times -4 = -20 and x times y = xy)
3) Then we use I of FOIL by multiplying together the terms on the inside of the brackets.
These are -2y and 3x because when both brackets are side by side, we can see that these terms are on the inner part of the equation.
-2y*3x = -6xy
(-2 times 3 = -6 and x times y = xy)
4) Finally we use L of FOIL by multiplying together the last terms of the brackets.
These are -2y and -4y because if we look at each bracket separately, these are the two individual terms that come last:
-2y*-4y = 8y^2
(-2 times -4 = 8 and y times y = y^2)
5) Now let's look at what terms we're left with after each of those 4 steps using our FOIL technique:
15x^2 - 20xy - 6xy + 8y^2
Our last step is to 'simplify' our answer by collecting any like terms. These are terms which have the same algebraic ending when we ignore the number in front of them.
So in this case, we have xy terms which we can collect: -20xy-6xy = -26xy.
6) Our final answer will be 15x^2 - 26xy + 8y^2.
Do check your signs when you look over your answers and your working. It's easy to make silly mistakes when you multiply a negative term with another negative term, for example (the answer will be positive).see more