Claude5315 Claude5315
  • 01-04-2021
  • Mathematics
contestada

A mix of factoring by grouping. Factor the exressions. 17ax+17a-x-1 Please explain/show steps on how to do this!

Respuesta :

berno berno
  • 01-04-2021

Answer:

[tex](17a-1)(x+1)[/tex]

Step-by-step explanation:

Given: Expression is [tex]17ax+17a-x-1[/tex]

To factor: the given expression

Solution:

Take [tex]17a[/tex] common from the first two terms and [tex]-1[/tex] from the last two terms.

[tex]17ax+17a=17a(x+1)[/tex]

and

[tex]-x-1=-(x+1)[/tex]

So,

[tex]17ax+17a-x-1=17a(x+1)-1(x+1)\\=(17a-1)(x+1)[/tex]

Therefore,

[tex]17ax+17a-x-1=(17a-1)(x+1)[/tex]

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