Question

Write the expression as a square of a binomial:

Make sure the answer is in this layout:

(Answer)^2

Answer 1

`(3x^(4) + 2y)^(2)`

Explanation:

We have to write the below expression as a square of a binomial.

The expression is
`9x^(8) + 4y^(2) -12x^(4) y`

It can be rearranged as
`(3x^(4) )^(2) + (2y)^(2) + 2 (3x^(4) )(2y)`

=
`(3x^(4) + 2y)^(2)` {Since we know that
`(a + b)^(2)= a^(2) + b^(2) + 2 ab`}

Therefore, the required binomial is
`(3x^(4) + 2y)`, whose square is the given expression. ( Answer )