Question

factories 3x² +6x²y+9xy​

Answer 1

Answer with steps, explanation

Answer 2

Step-by-step explanation:

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∴ Let us first find the HCF of all the terms of the given polynomial 3x² + 6xy² + 9xy² by factoring the terms as follows:

∴ 3x² = 3 × x × x

∴ 6x² y = 3 × 2 × x × x × y

∴ 9xy² = 3 × 3 × x × y × y

∴ Now, we factor out the HCF from each term of the polynomial

 3x² + 6xy² +9xy² as shown below:

∴ 3x² + 6xy² + 9xy² = 3x ( x + 2xy +3y² )

∴ Hence, 3x² + 6xy² +9xy² = 3x ( x + 2xy + 3y² ).