Which expression is a factor of 36×2−9? 6x−9 18x−9 6x−3 18x−3 August 27, 2021 by Latifah Which expression is a factor of 36×2−9? 6x−9 18x−9 6x−3 18x−3
Answer: 18x – 9 Step-by-step explanation: Factor the common factor of 9 first which gives [tex]9(4x^{2} -1)[/tex] [tex]4x^{2} – 1[/tex] is the difference of two squares and factors into (2x + 1)(2x – 1) The complete factorization of [tex]36x^{2} -9[/tex] is 9(2x + 1)(2x – 1). So 9(2x – 1) = 18x – 9 is a factor of the original expression. Reply
Answer:
18x – 9
Step-by-step explanation:
Factor the common factor of 9 first which gives [tex]9(4x^{2} -1)[/tex]
[tex]4x^{2} – 1[/tex] is the difference of two squares and factors into (2x + 1)(2x – 1)
The complete factorization of [tex]36x^{2} -9[/tex] is 9(2x + 1)(2x – 1).
So 9(2x – 1) = 18x – 9 is a factor of the original expression.