# MAT 221 Week 1 Assignment Simplifying Expressions -...

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Simplifying Expressions Jamere Shepherd Simplifying Expressions MAT 221
Simplifying Expressions Problem #1: 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 2a 2 – 10a + 4a + 20 Multiplication Property 2a 2 6a + 20 Subtraction Property The left column provides the step-by-step of the mathematical analysis for 2a(a – 5) + 4(a – 5) to be simplified as 2a 2 6a + 20. The right column provides the step-by-step logical analysis. The center component is united for the reason that the terms are like whereas the severe terms are dissimilar of the other three terms. The parentheses are utilized to display the associative property and then removed by means of multiplication and subtraction. The algebraic coefficient has to be ahead of the literal coefficient.
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