# Chapter 4 - Polynomials - 4.5 Multiplication of Polynomials - 4.5 Exercise Set: 38

$6t^{11}-9t^9+\dfrac{9}{7}t^5$

#### Work Step by Step

Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $\dfrac{3}{4}t^5\left( 8t^6-12t^4+\dfrac{12}{7} \right)$, is equivalent to \begin{array}{l}\require{cancel} \dfrac{3}{4}t^5( 8t^6)+\dfrac{3}{4}t^5(-12t^4)+\dfrac{3}{4}t^5\left(\dfrac{12}{7} \right) \\\\= 6t^{11}-9t^9+\dfrac{36}{28}t^5 \\\\= 6t^{11}-9t^9+\dfrac{9}{7}t^5 .\end{array}

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