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.