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Factor [tex]$93 + 48$[/tex]. Write your answer in the form [tex]$a(b + c)$[/tex] where [tex]$a$[/tex] is the GCF of 93 and 48.

[tex]\square[/tex]

Answer :

To factor the expression
[tex]$$93 + 48,$$[/tex]
we first note that the greatest common factor (GCF) of 93 and 48 is [tex]$3$[/tex].

Since
[tex]$$93 = 3 \times 31 \quad \text{and} \quad 48 = 3 \times 16,$$[/tex]
we can factor [tex]$3$[/tex] from both terms:

[tex]$$93 + 48 = 3(31) + 3(16).$$[/tex]

Now, factor [tex]$3$[/tex] out of the sum:

[tex]$$93 + 48 = 3(31 + 16).$$[/tex]

Thus, the expression in the form [tex]$a(b+c)$[/tex], where [tex]$a$[/tex] is the GCF, is

[tex]$$\boxed{3(31+16)}.$$[/tex]

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