Algebra

Factor out the greatest common monomial factor. 3x^2 + 6xy - 3y^2

Holt McDougal Larson Algebra 1 Common Core Edition page 541 number 4

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

3(x )(x ) ( +y)( +y)-6y2

3(x+y)(x+y)-6y2

3 (x+y)2-6 y2

Check:

3(x+y)(x+y)-6y2

3 (x)(x) (x)(y) (y)(x) (y)(y)-6y2

3(x2+xy+xy+y2)-6y2

3(x2+2xy+y2)-6y2

3x2+6xy+3y2-6y2

3x2+6xy-6y2