Question

7. Expand and reduce A(x). Then calculate A(x) for x=1.
A (x) = (3x – 3)(3x + 2)

Answer 1

Given:

The function is

$A(x)=(3x-3)(3x+2)$

To find:

The simplified form of A(x) and value of A(x) at x=1.

Solution:

We have,

$A(x)=(3x-3)(3x+2)$

$A(x)=(3x)(3x)+(3x)(2)+(-3)(3x)+(-3)(2)$

$A(x)=9x^2+6x-9x-6$

$A(x)=9x^2-3x-6$

Putting x=1, we get

$A(1)=9(1)^2-3(1)-6$

$A(1)=9-3-6$

$A(1)=9-9$

$A(1)=0$

Therefore, the simplified form of A(x) is $A(x)=9x^2-3x-6$ and the value of A(x) at x=1 in 0.