tinkerbell30948
tinkerbell30948 tinkerbell30948
  • 14-01-2020
  • Mathematics
contestada

I am stuck on question 45

I am stuck on question 45 class=

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 25-01-2020

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]

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