Respuesta :
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)
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