Answer:
[tex]16x^{4} -48xy^{3} +36y^{6}[/tex]
Step-by-step explanation:
The given term is :
[tex](4x-6y^{3} )^{2}[/tex]
We can also write this as :
[tex](4x-6y^{3} )[/tex][tex](4x-6y^{3} )[/tex]
We will use the formula : [tex](a-b)^{2} =a^{2} -2ab+b^{2}[/tex]
We can assume a = 4x
b = [tex]6y^{3}[/tex]
So, the answer we get by applying formula is :
[tex](4x)^{2} -2(4x)(6y^{3} )+(6y^{3})^{2}[/tex]
=[tex]16x^{2} -48xy^{3} +36y^{6}[/tex]