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Which factorization is equivalent to this expression?

30x+70


(1 point)
Responses

30(x+2)
30 times open paren x plus 2 close paren

10(3x+7)
10 times open paren 3 x plus 7 close paren

7(3x+10)
7 times open paren 3 x plus 10 close paren

10(x+7)

1 answer

To factor the expression \( 30x + 70 \), we first look for the greatest common factor (GCF) of the terms.

The GCF of \( 30 \) and \( 70 \) is \( 10 \).

Now we can factor out \( 10 \):

\[ 30x + 70 = 10(3x + 7) \]

So, the equivalent factorization is:

10(3x + 7)

Thus, the correct response is:

10(3x+7).