MAT 221 Week 1 Assignment Simplifying Expressions

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Simplifying Expressions

MAT 221

2a(a 5) 4(a 5)

2a(a  5)  4(a  5)               Given
2a(a)  2a(5)  4(a)  4(5)            Left Distributive Property of Addition Over 
                            Multiplication
2(aa)  2a(5)  4(a)  4(5)            Associative Property of Multiplication
2(aa)  2(5)a  4(a)  4(5)            Commutative Property of Multiplication
2(aa)  (2*5)a  4(a)  4(5)           Associative Property of Multiplication
2a2  10a  4a  20                Multiplication Property
2a2   6a  20                    Subtraction Property

On the left side is the step-by-step of the mathematical reasoning for 2a(a 5) 4(a 5) to be simplified as 2a2 6a 20. On the right side is the step-by-step logical reasoning. The middle part is combined because the terms are like while the extreme...

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