Chapter 5: Q. 19 (page 497)

In the following exercises, add or subtract the monomials.
$\begin{array}{l} (a) 12 a + 5 b - 22 a \\ (b) p q^{2} - 4 p - 3 q^{2} \end{array}$

Short Answer

Expert verified

The required result is

$\begin{array}{l} a) - 10 a + 5 b \\ b) p q^{2} - 4 p - 3 q^{2} \end{array}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (a) 12 a + 5 b - 22 a \\ (b) p q^{2} - 4 p - 3 q^{2} \\ Wehavetoaddorsubtractasapplicable. \end{array}$

Step 2. Solving part (a)

$\begin{array}{l} Considerthegivenexpression \\ \Rightarrow 12 a + 5 b - 22 a = 12 a - 22 a + 5 b [Combinetheliketerms] \\ = (12 - 22) a + 5 b \\ = - 10 a + 5 b \end{array}$

Step 3. Solving part (b)

$\begin{array}{l} Considerthegivenexpression \\ \Rightarrow p q^{2} - 4 p - 3 q^{2} = p q^{2} - 4 p - 3 q^{2} [Therearenoliketerms] \end{array}$

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In the following exercises, add or subtract the monomials.
$\begin{array}{l} (a) 12 a + 5 b - 22 a \\ (b) p q^{2} - 4 p - 3 q^{2} \end{array}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving part (a)

Step 3. Solving part (b)

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In the following exercises, add or subtract the monomials.(a)12a+5b−22a(b)pq2−4p−3q2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solving part (a)

Step 3. Solving part (b)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Decision Maths

Logic and Functions

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, add or subtract the monomials.
$\begin{array}{l} (a) 12 a + 5 b - 22 a \\ (b) p q^{2} - 4 p - 3 q^{2} \end{array}$