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

Question

(1 point)
Responses

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

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

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

9x−4

Answer 1

To factor the expression \( 81x - 36 \), we can start by identifying any common factors in both terms.

1. The two terms \( 81x \) and \( -36 \) have a common factor of \( 9 \).
2. Factor \( 9 \) out from both terms:

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

Now, we can check the factorizations given in the responses. The equivalent factorization is:

9(9x−4)

So the correct answer is:

9(9x−4).