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I am stuck on question 45

I am stuck on question 45-example-1
User Spiralman
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1 Answer

2 votes

Answer:


2(3x-4y)(2x-7y)

Explanation:

We want to factorize
12x^2-58xy+56y^2 completely.

We first of all factor the GCF which is 2 to get:


2(6x^2-29xy+28y^2)

We split the middle term to get;
2(6x^2-8xy-21xy+28y^2)

We factor the terms in the parenthesis by grouping.


2[2x(3x-4y)-7y(3x-4y)]

We factor further to get:
2(3x-4y)(2x-7y)

User Mbosecke
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