Since the two factors are different by , the factors will always have the same parity. That is, if is even then must also be even, so the product is divisible by four. Or neither are divisible by 2, so the product is odd. This implies that numbers which are multiple of 2 but not 4 cannot be expressed as the difference of 2 squares.
Answer
[default - edit me]
Tags
#mathematics #polynomials #precalculus
Question
Since the two factors are different by , the factors will always have the same parity. That is, if is even then must also be even, so the product is divisible by four. Or neither are divisible by 2, so the product is odd. This implies that numbers which are multiple of 2 but not 4 cannot be expressed as the difference of 2 squares.
Answer
?
Tags
#mathematics #polynomials #precalculus
Question
Since the two factors are different by , the factors will always have the same parity. That is, if is even then must also be even, so the product is divisible by four. Or neither are divisible by 2, so the product is odd. This implies that numbers which are multiple of 2 but not 4 cannot be expressed as the difference of 2 squares.
Answer
[default - edit me]
If you want to change selection, open document below and click on "Move attachment"
Difference Of Squares | Brilliant Math & Science Wiki ue View solutions What is Note: Try it without using a calculator. Correct! The answer is 1. 74% of people got this right. Continue View solutions Don't use a calculator! Further Extension Edit <span>Since the two factors are different by , the factors will always have the same parity. That is, if is even then must also be even, so the product is divisible by four. Or neither are divisible by 2, so the product is odd. This implies that numbers which are multiple of 2 but not 4 cannot be expressed as the difference of 2 squares. The product of two differences of two squares is itself a difference of two squares in two different ways: Problem Solving Edit The examples and problems in this sections are a bit hard
Summary
status
not learned
measured difficulty
37% [default]
last interval [days]
repetition number in this series
0
memorised on
scheduled repetition
scheduled repetition interval
last repetition or drill
Details
No repetitions
Discussion
Do you want to join discussion? Click here to log in or create user.