Factor this expression completely.

35x−40
35
𝑥

40


(1 point)
Responses

7(5x+8)
7
(
5
𝑥
+
8
)
7 times open paren 5 x plus 8 close paren

7(5x−8)
7
(
5
𝑥

8
)
7 times open paren 5 x minus 8 close paren

5(7x+8)
5
(
7
𝑥
+
8
)
5 times open paren 7 x plus 8 close paren

5(7x−8)

1 answer

To factor the expression \( 35x - 40 \) completely, we start by finding the greatest common factor (GCF) of the two terms, \( 35x \) and \( -40 \).

The GCF of 35 and 40 is 5.

Now, we can factor out 5 from the expression:

\[ 35x - 40 = 5(7x - 8) \]

So the completely factored form of \( 35x - 40 \) is:

\[ 5(7x - 8) \]

Thus, the correct response is:

5(7x−8)

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