109338 109338
  • 24-08-2021
  • Mathematics
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Factor ab + bc + b2 + ac.

(a + b)(b + c)
(a + c)(b + c)
b(a + b)(b + c)

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Аноним Аноним
  • 24-08-2021

Answer:

It is (a + b)(b + c)

Step-by-step explanation:

[tex]ab + bc + {b}^{2} + ac[/tex]

arrange the function:

[tex] = (ab + ac) + ( {b}^{2} + bc)[/tex]

factorise out common terms [ a and b ]:

[tex] = a(b + c) + b(b + c)[/tex]

form a bracket of factors:

[tex] = (a + b)(b + c)[/tex]

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