THe given expression is
[tex] 21x^3y^2-3x^2y+75x^4 [/tex]
We have to write it in factored form .
First we check for the GCF . And here the common factor is [tex] = 3x^2 [/tex]
So we take out the factor out of the expression, and on doing so we will get
[tex] 3x^2 (7xy^2-y+25x^2) [/tex]
And that's the required factored form .