Question

Find the square (3h+3)²

Answer 1

A binomial squared is solved with this formula:

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

In this exercise, a = 3h and b=3:

`(3h+3)^2=(3h)^2+2\cdot3h\cdot3+3^(2)`

We solve the square in the first and third term and multiply all the numbers in the second term

`(3h+3)^2=3^2\cdot h^(2)+18h+81`

And finally we have

`(3h+3)^(2)=9h^(2)+18h+81`