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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. 23 (page 498)

In the following exercises, add or subtract the monomials.
$\begin{array}{l} (a) x y^{2} 鈭� 5 x 鈭� 5 y^{2} \\ (b) 19 y + 5 z \end{array}$

Short Answer

Expert verified

The required result is

$\begin{array}{l} a) x y^{2} 鈭� 5 x 鈭� 5 y^{2} \\ b) 19 y + 5 z \end{array}$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (a) x y^{2} 鈭� 5 x 鈭� 5 y^{2} \\ (b) 19 y + 5 z \\ Wehavetoaddorsubtractasapplicable. \end{array}$

02

Step 2. Solving part (a)

$\begin{array}{l} Considerthegivenexpression \\ 鈬� x y^{2} 鈭� 5 x 鈭� 5 y^{2} \\ [Therearenoliketerms] \\ Thus, \\ Afteraddingorsubtractingtheexpressionwillremainthesame \end{array}$

03

Step 3. Solving for part (b)

$\begin{array}{l} Considerthegivenexpression \\ 鈬� 19 y + 5 z \\ [Therearenoliketerms] \\ Thus, \\ Afteraddingorsubtractingtheexpressionwillremainthesame. \end{array}$

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Most popular questions from this chapter

Simplify ${(\frac{1}{2} x^{2} y^{3})}^{4} {(4 x^{5} y^{3})}^{2}$

Multiply : (a) (-6b⁴)(-9b⁵)

(b) $(\frac{2}{3} r^{5} s) (12 r^{6} s^{7})$

Solve the square using the binomial squares pattern.

${(3 x^{2} + 2)}^{2}$

Jennifer thinks the quotient $\frac{a^{24}}{a^{6}}$ simplifies to $a^{4}$ .What is wrong with her reasoning

Solve the square using the binomial squares pattern.

${(y + \frac{1}{4})}^{2}$

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