Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Section 5.5 - Multiplication of Polynomials - Exercise - Page 226: 30

Answer

$$x^6y^3z -3x^4y^4z-3x^2y^4z^2 +4x^2y^3z^3 $$.

Work Step by Step

By multiplying each term of the polynomial by the factor $x^2y^3z$ and then adding the products, we have $$ x^2y^3z(x^4 - 3x^2y -3yz + 4z^2)\\ =x^2y^3z(x^4 )+x^2y^3z(- 3x^2y)+x^2y^3z( -3yz) +x^2y^3z( 4z^2)\\ =x^6y^3z -3x^4y^4z-3x^2y^4z^2 +4x^2y^3z^3 $$.
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