Question

I am stuck on question 45

Answer 1

`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)`