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Here's the steps for factoring by grouping:

[tex]7ax-7bz-2ay+2by[/tex]

[tex]=7x(a-b)-2y(a-b)[/tex]

[tex]=(7x-2y)(a-b)[/tex]

This is far as this expression can be factored. Let me know if you need any clarifications, thanks!

Factorizing the given expression we get, 7ax-7bx-2ay+2by = (a-b)(7x-2y)

What is Prime Factorization?

Prime factorization is a mathematical technique to express a number or polynomial as the product of their prime factors.

Here given expression is 7ax-7bx-2ay+2by

Now grouping by like wise term the expression we get,

7ax-7bx-2ay+2by

= (7ax-7bx) - (2ay-2by)

= 7x(a-b) - 2y(a-b), taking the like terms as common

= (a-b)(7x-2y), again taking common the like wise term.

Hence the required factorization is given by,

7ax-7bx-2ay+2by = (a-b)(7x-2y)

Learn more about Prime Factorization here -

https://brainly.com/question/92257

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