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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. 5.4 (page 490)

Add or subtract: $(a) - 15 c^{2} + 8 c^{2} (b) - 15 y^{2} z^{3} - (- 5 y^{2} z^{3})$

Short Answer

Expert verified

The result is

$\begin{array}{l} a) 鈭� 7 c^{2} \\ b) 鈭� 10 y^{2} z^{3} \end{array}$

Step by step solution

01

Step 1. Given information

The given polynomials are

$(a) - 15 c^{2} + 8 c^{2} (b) - 15 y^{2} z^{3} - (- 5 y^{2} z^{3})$

We have to add or subtract the terms as applicable

02

Step 2. Solve part (a)

$\begin{array}{l} Wehave(a) 鈭� 15 c^{2} + 8 c^{2} . \\ Combinetheliketerms \\ 鈬� 鈭� 15 c^{2} + 8 c^{2} = (鈭� 15 + 8) c^{2} \\ = 7 c^{2} \end{array}$

03

Step 3. Solve part (b)

$\begin{array}{l} Wehave(b) 鈭� 15 y^{2} z^{3} 鈭� (鈭� 5 y^{2} z^{3}) . \\ 鈬� 鈭� 15 y^{2} z^{3} 鈭� (鈭� 5 y^{2} z^{3}) = 鈭� 15 y^{2} z^{3} + 5 y^{2} z^{3} \\ Combinetheliketerms \\ = (鈭� 15 + 5) y^{2} z^{3} \\ = 鈭� 10 y^{2} z^{3} \end{array}$

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