PRECALCULUS:GRAPHICAL,...-NASTA ED.
PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
Expert Solution & Answer
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Chapter A.1, Problem 74E
Solution

Simplify the radical expression.

  (3x+y)2y .

Given:

The given expression is 18x2y+2y3 .

Concept Used:

  • Find the largest factor in the radicand that is a perfect power of the index. Rewrite the radicand as a product of two factors, using that factor.
  • Use the product rule to rewrite the radical as the product of two radicals.
  • Simplify the root of the perfect power.

Calculation:

The given expression is 18x2y+2y3 .

  18x2y+2y3=332x2y+2y2y=322x2y+2y2y=3x2y+y2y=(3x+y)2y

Thus after simplifying 18x2y+2y3 we get (3x+y)2y .

Chapter A.1 Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

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