Question

3x^2+6xy+3y^2

Answer 1

@JungHyunRan

Answer 2

3x^(2)+6xy+3y^(2)

Factor out the GCF of 3 from each term in the polynomial.
3(x^(2))+3(2xy)+3(y^(2))

Factor out the GCF of 3 from 3x^(2)+6xy+3y^(2).
3(x^(2)+2xy+y^(2))

For a polynomial of the form x^(2)+bx+c, find two factors of c (1) that add up to b (2). In this problem 1*1=1 and 1+1=2, so insert 1 as the right hand term of one factor and 1 as the right-hand term of the other factor.
3(x+y)(x+y)

Combine the two common factors of (x+y) by adding the exponents.
3(x+y)^(2)