Answer:
[tex]3x^2(25x^2+7xy^2-y)[/tex]
Step-by-step explanation:
[tex]21x^3y^2 - 3x^2y + 75x^4[/tex]
To factor any expression , we need to find greatest common factor GCF
All the numbers 21, 3 and 75 are divisible by 3
common factor for x^4, x^3 and x^2 is x^2
lowest exponent is our common factor
GCF is 3x^2
When we factor out 3x^2 we divide each term by 3x^2
[tex]\frac{21x^3y^2}{3x^2} - \frac{3x^2y}{3x^2} + \frac{75x^4}{3x^2}[/tex]
[tex]3x^2(7xy^2 - y + 25x^2)[/tex]
[tex]3x^2(25x^2+7xy^2-y)[/tex]
We cannot factor the parenthesis part further
