What is [tex]9x^2 - 24x + 16[/tex]?

9X^2-24X+16=(3X-4)(3X-4)=(3X-4)^2

Answered by Anesti | 2024-06-10

**a **
**2 **
**− **
**2 **
**a **
**b **
**+ **
**b **
**2 **
**= **
**( **
**a **
**− **
**b **
**) **
**2 **
**
**
**with **
**a **
**= **
**3 **
**x **
** and **
**b **
**= **
**4 **
**
**
**9 **
**x **
**2 **
**− **
**24 **
**x **
**+ **
**16 **
**= **
**( **
**3 **
**x **
**) **
**2 **
**− **
**( **
**2 **
**⋅ **
**( **
**3 **
**x **
**) **
**⋅ **
**4 **
**) **
**+ **
**4 **
**2 **
**
**
**= **
**( **
**3 **
**x **
**− **
**4 **
**) **
2 ;

Answered by Anonymous | 2024-06-12

The expression 9 x 2 − 24 x + 16 can be factored into ( 3 x − 4 ) 2 . This means it is a perfect square trinomial. The steps included recognizing the coefficients and factoring by grouping.
;

Answered by Anesti | 2024-11-22