Answer :
9x^2 - 18x - 7
--------------------
(3x + 1)
(3x +1)(3x - 7)
= ------------------------
(3x + 1)
= 3x - 7
--------------------
(3x + 1)
(3x +1)(3x - 7)
= ------------------------
(3x + 1)
= 3x - 7
Answer:
The required solution is 3x-7.
Step-by-step explanation:
The given expression is
[tex](9x^2-18x-7)\div (3x+1)[/tex]
It can be written as
[tex]\frac{9x^2-18x-7}{3x+1}[/tex]
Factorize the numerator.
[tex]\frac{9x^2-21x+3x-7}{3x+1}[/tex]
[tex]\frac{3x(3x-7)+1(3x-7)}{3x+1}[/tex]
[tex]\frac{(3x-7)(3x+1)}{3x+1}[/tex]
Cancel out the common factors.
[tex]3x-7[/tex]
Therefore the required solution is 3x-7.