I can assist with analyzing the image and explaining the problem. The exercise asks to match polynomials on the left with their simplified forms on the right. Let's break it down.

The problem appears to involve simplifying polynomials and matching them accordingly.

The two groups are:

1. Left side polynomials: These appear to be expanded or unsimplified.
2. Right side polynomials: These are the simplified versions.

From the image, here are the polynomials I can identify (written down to make it clearer):

• Left side polynomials:

  1. $(4x^2y - 5x^2y^2 + 2xy^2 + 2xy)$
  2. $(3x^2y - x^2y^2 + xy - 2x^2y^2)$
  3. $(x^2y + xy^2 - 2x^2y^2 + 2xy)$

• Right side polynomials:

  1. $3x^2y + 4xy + 2x^2y^2$
  2. $2x^2y + 2xy - 2x^2y^2$
  3. $x^2y - x^2y^2 + 2xy$

Strategy for Matching:

1. Group terms on the left side: Simplify each polynomial on the left by grouping like terms.
2. Compare: Match the simplified version with one on the right.

Would you like me to go ahead and simplify these polynomials for you and match them up with the correct answers?