Answer:
[tex]2(3x-4y)(2x-7y)[/tex]
Step-by-step explanation:
We want to factorize [tex]12x^2-58xy+56y^2[/tex] completely.
We first of all factor the GCF which is 2 to get:
[tex]2(6x^2-29xy+28y^2)[/tex]
We split the middle term to get; [tex]2(6x^2-8xy-21xy+28y^2)[/tex]
We factor the terms in the parenthesis by grouping.
[tex]2[2x(3x-4y)-7y(3x-4y)][/tex]
We factor further to get: [tex]2(3x-4y)(2x-7y)[/tex]
