Answer:

xy(3y+2x)

Step-by-step explanation:

[tex]4xy^{2}-7x^{2} y+12x^{2} y-6xy^{2}-3x^{2} y+5xy^{2}\\ 3xy^{2} +2x^{2} y \\xy(3y+2x)[/tex]

Verified answer

(4xy²- 7x²y) + (12x²y - 6xy²) + (-3x²y + 5xy²)

= 4xy² - 7x²y + 12x²y - 6xy² - 3x²y + 5xy²

= 4xy²- 6xy²+ 5xy² - 7x²y + 12x²y - 3x²y

= (4 - 6 + 5)xy² + (-7 + 12 - 3)x²y

= 3xy² + 2x²y

= xy(3y + 2x)