Question

Express (x+9)^2(x+9)
2
as a trinomial in standard form.

Answer 1

Given:

`(x+9)^2`

To find:

The given expression as a trinomial in standard form.

Solution:

We have,

`(x+9)^2`

Using the formula,
`(a+b)^2=a^2+2ab+b^2`, we get

`(x+9)^2=x^2+2(x)(9)+(9)^2`

`(x+9)^2=x^2+18x+81`

Standard form a trinomial is
`ax^2+bx+c`.

`x^2+18x+81` is in the standard form.

Therefore, the required expression is
`x^2+18x+81`.