factorise fully:3xsquared y-9xysquared+12xcubed y cubed

show your steps like I did and somebody will take a look at it

is dis hw u du it :6x^2y-3xy^2+36x^9y

Don't your instructors teach you correct English??

Is this what you mean?

Is this how you do it?

You didn't do any factoring.

3xsquared y-9xysquared+12xcubed y cubed
= 3x^2y - 9xy^2 + 12x^3y^3
= 3xy(x - 3y + 4x^2y^2)

is dis hw u du it contains only two words: "is" and "it." Unless the slang "dis" is in the dictionary now and means to disrespect someone.

To factorize fully, we need to look for common terms that can be factored out. In this case, we can factor out the greatest common factor (GCF) from each term.

Let's look at each term separately:

Term 1: 3x²y
The GCF for the coefficients (numbers) is 3. The variable with the smallest exponent is x². The variable with the smallest exponent is y. So, the GCF is 3x²y. We can factor it out as follows:
3x²y * (y - 3xy² + 4x³y²)

Term 2: -9xy²
The GCF for the coefficients is -9. The variable with the smallest exponent is x. The variable with the smallest exponent is y². So, the GCF is -9xy². We can factor it out as follows:
-9xy² * (x² - 1xy + 4x³y²)

Term 3: 12x³y³
The GCF for the coefficients is 12. The variable with the smallest exponent is x³. The variable with the smallest exponent is y³. So, the GCF is 12x³y³. We can factor it out as follows:
12x³y³ * (x² - 3xy + 1)

Putting it all together, the fully factorized expression is:

3x²y(y - 3xy² + 4x³y²) - 9xy²(x² - 1xy + 4x³y²) + 12x³y³(x² - 3xy + 1)