MYTUTOR SUBJECT ANSWERS

244 views

How do I evaluate something like 3070^2-3069^2?

This looks pretty daunting, but the key to this sort of a problem, which has come up a couple of times in previous PAT tests, is to recognise that this expression is actually the difference of two squares. It can be generalised to the problem of evaluating:

x2-y2

which has as its solution:

x2-y2 = (x+y)(x-y)

so in this case:

30702-30692 = (3070+3069)(3070-3069)=(6139)(1)=6139

Sam C. A Level Physics tutor, GCSE Physics tutor, A Level Maths tutor...

7 months ago

Answered by Sam, an Uni Admissions Test .PAT. tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

3 SUBJECT SPECIALISTS

£30 /hr

Henri F.

Degree: Aerospace Engineering MEng (Masters) - Bristol University

Subjects offered: .PAT., Physics+ 4 more

.PAT.
Physics
Maths
Further Mathematics
Electronics
.STEP.

“About Me I am an Aerospace Engineer currently studying my MEng at the University of Bristol. I have always been fascinated with space, spacecraft and satellites. I intend on going on to complete a PhD specialising inSpacecraft Control...”

£25 /hr

George S.

Degree: Physics (Masters) - Birmingham University

Subjects offered: .PAT., Physics+ 2 more

.PAT.
Physics
Maths
Further Mathematics

“About Me: I am just entering my first year to study Physics at University of Birmingham, I've always enjoyed anything maths based hence my A-level choices, I hope I can help you through your work whether it's GCSE or A-level and maybe...”

MyTutor guarantee

£25 /hr

Kirill M.

Degree: Physics (Masters) - Oxford, St Catherine's College University

Subjects offered: .PAT., Physics+ 2 more

.PAT.
Physics
Maths
Further Mathematics

“Me Hi, I'm Kirill, I'm a 3rd year physicist at Oxford. Whether you are looking for exam preparation or for a better understanding of the material that you are covering in your studies of Maths or Physics, I can help you reach your goa...”

About the author

Sam C.

Currently unavailable: for new students

Degree: MEng Engineering Science (Masters) - Oxford, New College University

Subjects offered: .PAT., Physics+ 2 more

.PAT.
Physics
Maths
Further Mathematics

“ABOUT ME:I am studying Engineering Science at New College, Oxford. I am also a key member of the prestigious University Boat Club, coxing the Oxford Blue boat in the 2016 Boat Race. I am passionate about academic success and about Ma...”

You may also like...

Posts by Sam

A capacitor discharge circuit of time constant 45ms includes a capacitor and resistor. The capacitor has a capacitance of 18µF What is the resistance of the resistor?

How do I evaluate something like 3070^2-3069^2?

Other Uni Admissions Test .PAT. questions

How do I evaluate something like 3070^2-3069^2?

How do I approximate an irrational square root without using a calculator?

How are you to find 2007^2 − 2006^2 without a calculator?

How many trailing zeros are there in 100! (100 factorial)?

View Uni Admissions Test .PAT. tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok