The factor of the given equation will be 3x²(5y² - xy + 25x²).
What is system of equations?
System of equations is a finite set of equations for which common solutions are sought.
We have,
15x²y² - 3x³y + 75x⁴
Now,
Rewrite the above equation,
i.e.
= 15x²y² - 3x*x²y + 75x²x²
Now,
Simplify,
= 3*5x²y² - 3x*x²y + 3*25x²x²
Now,
Taking 3x² common,
i.e.
= 3x²(5y² - xy + 25x²)
So, this is the factor of the given equation.
Hence, we can say that the factor of the given equation will be 3x²(5y² - xy + 25x²).
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