Question

How do you multiply `(5t+9)^2`?

Answer 1

`25t^2 + 90t + 81`

Explanation:

Write out the problem:
`(5t+9)(5t+9)`
Multiply each term by each other
`(5t * 5t) + (5t * 9) + (9 * 5t) + (9*9)`
`25t^2 + 45t + 45t + 81`
Combine like terms:
`25t^2 + 90t + 81 = (5t+9)^2`

Answer 2

`25t^2 + 90t + 81`

Explanation:

To square a binomial, use this formula:

`(a+b)^2 = a^2 +2ab +b^2`

In this scenario:

`(5t+9)^2 = (5t)^2 + 2(5t)(9) + (9)^2 = 25t^2 + 90t + 81`