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Which factored form is equivalent to the expression 9𝑥3y − 5𝑥2𝑦4?

Question

Which factored form is equivalent to the expression 9𝑥3y − 5𝑥2𝑦4?

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Solution

The expression given is 9x^3y - 5x^2y^4.

To factor this expression, we first look for the greatest common factor (GCF) in both terms.

The GCF of 9x^3y and 5x^2y^4 is x^2y.

We then divide each term in the original expression by the GCF:

9x^3y ÷ x^2y = 9xy 5x^2y^4 ÷ x^2y = 5y^3

So, the factored form of the expression 9x^3y - 5x^2y^4 is x^2y(9xy - 5y^3).

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