Answer:
[tex](3x^{4} + 2y)^{2}[/tex]
Step-by-step explanation:
We have to write the below expression as a square of a binomial.
The expression is [tex]9x^{8} + 4y^{2} -12x^{4} y[/tex]
It can be rearranged as [tex](3x^{4} )^{2} + (2y)^{2} + 2 (3x^{4} )(2y)[/tex]
= [tex](3x^{4} + 2y)^{2}[/tex] {Since we know that [tex](a + b)^{2}= a^{2} + b^{2} + 2 ab[/tex]}
Therefore, the required binomial is [tex](3x^{4} + 2y)[/tex], whose square is the given expression. ( Answer )
