# Chapter 1 - Foundations for Algebra - 1-7 The Distributive Property - Lesson Check - Page 49: 8

a. Yes b. No, you can still distribute the negative sign outside of the parenthesis c. No, the variables 12xy and -3yx can still be simplified because they both have the same coefficients, x and y

#### Work Step by Step

a. $4xy^{3} + 5x^{3}y$ are simplified completely because the two are not like terms b. -(y-1) still has a negative sign that can be distributed c. 12xy and -3yx are like terms despite the fact that the order of coefficients is different. By the rules of multiplication, 12xy=12yx and -3xy=-3yx

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