Answer:
The simplified form of the given product \(\left(4x\:-\:6y^3\right)^2\:\) is \(16x^2-48xy^3+36y^6\)
Step-by-step explanation:
Given: Expression \(\left(4x\:-\:6y^3\right)^2\:\)
We have to write the simpler form of the given product \(\left(4x\:-\:6y^3\right)^2\:\)
Consider the given expression \(\left(4x\:-\:6y^3\right)^2\:\)
Apply perfect square identity \(\left(a-b\right)^2=a^2-2ab+b^2\)
\(a=4x,\:\:b=6y^3\)
We have,
\(=\left(4x\right)^2-2\cdot \:4x\cdot \:6y^3+\left(6y^3\right)^2\)
Simplify, we have,
\(=16x^2-48xy^3+36y^6\)
Thus, The simplified form of the given product \(\left(4x\:-\:6y^3\right)^2\:\) is \(16x^2-48xy^3+36y^6\)
