Answer:
The greatest common factor of the equation is \(12xy^{5} + 60x^{4}y^{2}-24x^{3}y^{3}\) is 12xy² .
Option (C) is correct .
Step-by-step explanation:
As given the expression in the question be as follow .
\(=12xy^{5} + 60x^{4}y^{2}-24x^{3}y^{3}\)
Now by using the exponent formula
\(x^{a}\times x^{b}=x^{a+b}\)
\(=12xy^{2+3} + 60x^{1+3}y^{2}-24x^{2+1}y^{2+1}\)
\(=12xy^{2}.y^{3}+ 60x^{1}x^{3}y^{2}-24x^{2}x^{1}y^{2}y^{1}\)
Taking common part from the above equation
\(=12xy^{2}(y^{3}+5x^{3}-2x^{2}y^{1})\)
Therefore the greatest common factor of the equation is \(12xy^{5} + 60x^{4}y^{2}-24x^{3}y^{3}\) is 12xy² .
Option (C) is correct .
