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Factor the expression:

\[ 21x^3y^2 - 3x^2y + 75x^4 \]

Answer :

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

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