Question

Which polynomial is a difference of two squares?

x2 − 16
x2 + 16
x2 − 8
x2 + 8

Answer 1

@amistre64 @Mehek14

Answer 2

its first one

Answer 3

According to what we know about polynominals, let's say we take \(x=a\) and \(4 =b\) Then we can take our form, \(a^2-b^2\) to write out our function as \((x)^2-(4)^2\) which simplifies to.....?

Answer 4

\[x^2-16 = (x-4)(x+4)\]@help_people and \[x^2-8 = (x-\sqrt{8})(x+\sqrt{8})\]

Answer 5

ok @Jhannybean and @dinamix I know the answer but could you explain more for osme reason i do not get it

Answer 6

@help_people

You re looking for the form \(a^2-b^2\) and the things is, when it is a variable, we can have it be \(x^2\) so its the other part we are concerned with.

So since we need a \(-\) sign, we can rule out options 2 and 4.

Ok so what is the problem with \(x^2-8\)

Well in order for it to be a perfect square, we need the thing after the \(-\) sign to be written as \(b^2\) where \(b\) is a INTEGER.

\(\sqrt{8}\) is not an integer, but \(\sqrt{16}=4\) is.

Answer 7

so we have \(x^2-16=x^2-4^2\)

Answer 8

ok

Answer 9

@help_people u study number complexe , @zzr0ck3r

Answer 10

not you i am sopke with him , i ask if study it

Answer 11

I am not sure what you are asking.

I am good in certain area dealing with complex numbers, but not the traditional. There are much better people here for that.

Answer 12

I really like your explanation here, @zzr0ck3r

Answer 13

hi @Jhannybean

Answer 14

ty :)

Answer 15

@zzr0ck3r i hope know how to explain like u

Answer 16

often my problem is over explaining. I have to learn to say only the things that are important.

Some stuff I said up there is not 100% correct, but if I say it 100% correct often I would confuse everyone.

Answer 17

ok thank you for everthing :/ @zzr0ck3r XOXO to all