anonymous
  • anonymous
I need help fast. I don't understand at all....Using complete sentences, compare and contrast the ways to factor the "sum of two squares" and the "difference of two squares." Provide an explanation and example of each, including any similarities and differences.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
dan815
  • dan815
|dw:1370866527570:dw|
dan815
  • dan815
|dw:1370866606048:dw|
dan815
  • dan815
complete square and stuff... for sum of squares

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Lmao I'm still confused...I'm sorry:/
skullpatrol
  • skullpatrol
There is no formula for the "sum of two squares." The formula for the "difference of two squares" is it equals sum of two numbers times their difference.
anonymous
  • anonymous
I kinda get it but I don't get the drawing above^^^^
amistre64
  • amistre64
isnt the sum of 2 squares: (a-bi)(a+bi) complex conjugates
skullpatrol
  • skullpatrol
$$a^2-b^2=(a+b)(a-b)$$
skullpatrol
  • skullpatrol
This^ is all you need to know :)
skullpatrol
  • skullpatrol
Prove it to yourself using FOIL.
skullpatrol
  • skullpatrol
Or the distributive property of multiplication.
anonymous
  • anonymous
So is that the sum or the difference?
skullpatrol
  • skullpatrol
The difference.
anonymous
  • anonymous
Okay nd for the sum there is no formula,right??
anonymous
  • anonymous
So then how do you factor the sum?
skullpatrol
  • skullpatrol
$$a^2-b^2$$ a is squared and b is squared and we are looking at the difference between them.
skullpatrol
  • skullpatrol
You can not factor the sum.
anonymous
  • anonymous
Oh I see:) Thank you for actually trying to understand nd explain to me how to do it unlike the others:)
skullpatrol
  • skullpatrol
Thank you for trying to learn :)
amistre64
  • amistre64
\[a^2+b^2=(a+bi)(a-bi)\] but if you are only concerned with factoring across the Real numbers, than it is considered prime
anonymous
  • anonymous
Wait I'm confused again
anonymous
  • anonymous
I need an example for each though
skullpatrol
  • skullpatrol
@Shawna.marie you don't need to worry about complex numbers like a +bi
skullpatrol
  • skullpatrol
You are working with the Real numbers.
anonymous
  • anonymous
Yes
amistre64
  • amistre64
the fundamental thrm of algebra says that the maximum number of roots (or solution to f(x)=0) of a polynomial relates to the degree of the polynomial x^2 + 9 has 2 roots, to solution to x^2+9 = 0 what it does not tells us is if those solutions are Real numbers or not.
anonymous
  • anonymous
I need an example for each I am still kinda confused
amistre64
  • amistre64
x^2 + 9 is an example of the sum of 2 squares
anonymous
  • anonymous
What about the difference nd what would the two squares for ^^^that one be?
skullpatrol
  • skullpatrol
Don't worry about the sum of two squares, you will only confuse yourself.
amistre64
  • amistre64
there are 3 parts to the expression, one of them is an operation (+) the other 2 parts are terms, in this case each term is called a "square" since they are of the form n^2
anonymous
  • anonymous
Ik that
skullpatrol
  • skullpatrol
Concentrate on understanding the DIFFERENCE of two squares formula: $$a^2-b^2=(a+b)(a-b)$$
anonymous
  • anonymous
Okay so I get that one but what would an example be?
skullpatrol
  • skullpatrol
Try making your own examples by choosing numbers for a and b.
skullpatrol
  • skullpatrol
The best way to come up with complete sentences about the "difference of two squares." Is to provide your own explanation and examples :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.