Question

Factor 21x3y2 – 3x2y + 75x4

Answer 1

Answer:

$3x^2(25x^2+7xy^2-y)$

Step-by-step explanation:

$21x^3y^2 - 3x^2y + 75x^4$

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

$\frac{21x^3y^2}{3x^2} - \frac{3x^2y}{3x^2} + \frac{75x^4}{3x^2}$

$3x^2(7xy^2 - y + 25x^2)$

$3x^2(25x^2+7xy^2-y)$

We cannot factor the parenthesis part further