Factor the polynomial. 2x^2 + 12xy + 18y^2

Holt McDougal Larson Algebra 1 Common Core Edition page 545 number 14

Asked by Dee Dee on 26 Mar 09:41

Last updated by anonymous on 26 Mar 23:11

Answered by CherieS on 26 Mar 23:11

2x^2 + 12xy + 18y^2

2( x^2 +6xy +9y^2)

2 (x )(x ) ( +3y)( +3y)

2(x+3y)(x+3y)

Check:

2(x+3y)(x+3y)

2 (x)(X) (X)(3y) (3y)(x) (3y)(3y)

2 ( x^2 3xy 3xy 9y^2)

2(x^2+6xy+9y^2)

2x^2+12xy+18y^2

Factor:

2(x+3y)^2