Which factorization is equivalent to this expression? 81x−36

Question

(1 point)
Responses

−9(9x−4)
negative 9 times open paren 9 x minus 4 close paren

9x−4
9 x minus 4

9(9x−8)
9 times open paren 9 x minus 8 close paren

9(9x−4)

Answer 1

To factor the expression \( 81x - 36 \), we first look for the greatest common factor (GCF) of the two terms.

The GCF of \( 81x \) and \( 36 \) is \( 9 \). We can factor \( 9 \) out of the expression:

\[ 81x - 36 = 9(9x - 4) \]

Thus, the correct factorization is:

\[ 9(9x - 4) \]

So, the response that is equivalent to the expression \( 81x - 36 \) is:

9(9x−4)