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.2, Problem 53E
Solution

To factor the sum or difference of two cubes y38 .

  y2y2+2y+4

Given:

The expression, y38

Concept Used:

  • Like terms are the terms that contain the same variable with similar exponents on it. Constants are like terms as well.
  • In any expression, terms are separated by plus or minus signs.
  • Coefficients are the constants in front of the variable terms.
  • a3b3=aba2+ab+b2

Calculation:

In order to find the factor the of two cubes first write -8 in exponential term then solving the equation by using the difference of cubes formula as shown below

  8=23

  y323

  a3b3=aba2+ab+b2y323=y2y2+2y+22=y2y2+2y+4

The original expression now become

  y2y2+2y+4

Chapter A.2 Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

Ch. A.2 - Prob. 11ECh. A.2 - Prob. 12ECh. A.2 - Prob. 13ECh. A.2 - Prob. 14ECh. A.2 - Prob. 15ECh. A.2 - Prob. 16ECh. A.2 - Prob. 17ECh. A.2 - Prob. 18ECh. A.2 - Prob. 19ECh. A.2 - Prob. 20ECh. A.2 - Prob. 21ECh. A.2 - Prob. 22ECh. A.2 - Prob. 23ECh. A.2 - Prob. 24ECh. A.2 - Prob. 25ECh. A.2 - Prob. 26ECh. A.2 - Prob. 27ECh. A.2 - Prob. 28ECh. A.2 - Prob. 29ECh. A.2 - Prob. 30ECh. A.2 - Prob. 31ECh. A.2 - Prob. 32ECh. A.2 - Prob. 33ECh. A.2 - Prob. 34ECh. A.2 - Prob. 35ECh. A.2 - Prob. 36ECh. A.2 - Prob. 37ECh. A.2 - Prob. 38ECh. A.2 - Prob. 39ECh. A.2 - Prob. 40ECh. A.2 - Prob. 41ECh. A.2 - Prob. 42ECh. A.2 - Prob. 43ECh. A.2 - Prob. 44ECh. A.2 - Prob. 45ECh. A.2 - Prob. 46ECh. A.2 - Prob. 47ECh. A.2 - Prob. 48ECh. A.2 - Prob. 49ECh. A.2 - Prob. 50ECh. A.2 - Prob. 51ECh. A.2 - Prob. 52ECh. A.2 - Prob. 53ECh. A.2 - Prob. 54ECh. A.2 - Prob. 55ECh. A.2 - Prob. 56ECh. A.2 - Prob. 57ECh. A.2 - Prob. 58ECh. A.2 - Prob. 59ECh. A.2 - Prob. 60ECh. A.2 - Prob. 61ECh. A.2 - Prob. 62ECh. A.2 - Prob. 63ECh. A.2 - Prob. 64ECh. A.2 - Prob. 65ECh. A.2 - Prob. 66ECh. A.2 - Prob. 67ECh. A.2 - Prob. 68ECh. A.2 - Prob. 69ECh. A.2 - Prob. 70ECh. A.2 - Prob. 71ECh. A.2 - Prob. 72ECh. A.2 - Prob. 73ECh. A.2 - Prob. 74ECh. A.2 - Prob. 75ECh. A.2 - Prob. 76ECh. A.2 - Prob. 77ECh. A.2 - Prob. 78ECh. A.2 - Prob. 79ECh. A.2 - Prob. 80ECh. A.2 - Prob. 81ECh. A.2 - Prob. 82ECh. A.2 - Prob. 83ECh. A.2 - Prob. 84ECh. A.2 - Prob. 85ECh. A.2 - Prob. 86ECh. A.2 - Prob. 87ECh. A.2 - Prob. 88ECh. A.2 - Prob. 89ECh. A.2 - Prob. 90ECh. A.2 - Prob. 91E
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