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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 5.11 (page 492)

$Subtract (a^{2} + 5 a b - 6 b^{2}) from (a^{2} + b^{2})$

Short Answer

Expert verified

On subtracting $(a^{2} + 5 a b - 6 b^{2}) from (a^{2} + b^{2})$ we get $鈭� 5 a b + 7 b^{2}$

Step by step solution

01

Step 1. Given information

We have to $subtract (a^{2} + 5 a b - 6 b^{2}) from (a^{2} + b^{2})$

02

Step 2. Distribute and identify like terms

$\begin{array}{l} Wehave (a^{2} + b^{2}) 鈭� (a^{2} + 5 a b 鈭� 6 b^{2}) \\ Distributeandidentifyliketermsandthenrearrangetheterms \\ 鈬� (a^{2} + b^{2}) 鈭� (a^{2} + 5 a b 鈭� 6 b^{2}) = \underset{炉}{a^{2}} + \underset{炉}{\underset{炉}{b^{2}}} 鈭� \underset{炉}{a^{2}} 鈭� 5 a b + \underset{炉}{\underset{炉}{6 b^{2}}} \\ = (a^{2} 鈭� a^{2}) 鈭� 5 a b + (b^{2} + 6 b^{2}) \\ \begin{array}{l} = 0 鈭� 5 a b + 7 b^{2} \\ = 鈭� 5 a b + 7 b^{2} \end{array} \end{array}$

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