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2-29.
  1. Copy and simplify the following expressions by combining like terms. Using or drawing sketches of algebra tiles may be helpful. Homework Help ✎

    1. 2x + 3x + 3 + 4x2 + 10 + x

    2. 4x + 4y2 + y2 + 9 + 10 + x + 3x

    3. 2x2 + 30 + 3x2 + 4x2 + 14 + x

    4. 20 + 5xy + 4y2 + 10 + y2 + xy

Add like terms.

4x2 + (2x + 3x + x) + (10 + 3)
4x2 + 6x + 13

4x2 + 6x + 3

It may helpful to rearrange the terms so that all like terms are next to one another before simplifying. Remember to double-check your work.

Try thinking of these as algebra tiles. Can you combine x2 with x-tiles or unit tiles? If it helps you, you can use algebra tiles to help you solve this problem.

Follow the steps outlined in part (a) and the hints from parts (b) and (c).

5y2 + 6xy + 30