We know : a^3+b^3=(a-b)(a^2+ab+b^2)
Explanation
Given expression is : 54x^3-16y^3
Let’s factorise it,
54x^3-16y^3
\rightarrow 2\left(27x^3-8y^3\right)
\rightarrow 2\{\left(3x\right)^3-\left(2y\right)^3\}
\rightarrow 2\left[\left(3x-2y\right)\{\left(3x\right)^2+3x.2y+\left(2y\right)^2\}\right]
\rightarrow 2\left(3x-2y\right)\left(9x^2+6xy+4y^2\right)
Ans: 54x^3-16y^3 this expression’s factor is 2\left(3x-2y\right)\left(9x^2+6xy+4y^2\right) .