Question

Factor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).

Answer 1

The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

What is factored form?

The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.

We need to write the given expression $9x^4y-6x^3y^2 + 3x^2y^3$ in the factored form, therefore, we will take the common terms out of the given expression,

1. Taking 3 as the common term, we will get,

$9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)$

2. Taking x² as the common term

$= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)$

3. Taking y as the common term,

$= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)$

Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

Learn more about Factored Form:

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