Factorize please?

Question

Factorize 3x2 + 3y2.

Please explain!

Answer 1

3.(x² + y²) is all that can be done.
Check
3 (x² + y²) = 3 x² + 3 y² as required.

Answer 2

We can use the Distributive Law to expand the product x(y+z)to xy+xz.Conversely,we can write xy+xz as x(y+z).This process is known as factorization.Take notice that x is found in both terms xy+xz.We can call x as the common factor.

So back to your question 3x2+3y2.From observation,we can find that there is a common factor that 3x2 and 3y2 share.The common factor is 3,so we can factorize 3x2+3y2 into 3(x2+y2).

Hope that helped you.

Answer 3

3x2 + 3y2
3(x^2+y^2)
Draw out the 3 from both x^2 and y^2.
No more can be simplified!
However, you can have:
3{(x+y)^2-2xy}
or
3{(x-y)^2+2cy}
Cheer Up!

kuan_yew_tan

Answer 4

3(x^2 + y^2)
What can you factorize.
You can write, 3{ (x + y)^2 - 2xy }

Answer 5

3x^2 + 3y^2 = 3(x^2 + y^2)

and read this
http://en.wikipedia.org/wiki/Factorization

Answer 6

3x^2 + 3y^2
= 3(x^2 +y^2 )
= 3[(x+y)^2 - 2xy] OR 3[(x-y)^2 +2xy]

Answer 7

3(x2 + y2)