Question

Is the trinomial x square -6xy+36y square a perfect square justify ur answer

Answer 1

Given:

`x^2-6xy+36y^2`

To find:

Whether the given trinomial is a perfect trinomial or not.

Solution:

We have,

`x^2-6xy+36y`

It can be written as

`=x^2-6xy+6^2y^2`

`=x^2-(x)(6y)+(6y)^2`

This equation is not of the form
`(a-b)^2=a^2-2ab+b^2` because in the above expression, 2 is missing in the middle term.

Therefore, the given trinomial is not a perfect square.