Chapter 5: Q. 5.6 (page 490)

$Add: (a) 3 m^{2} + n^{2} - 7 m^{2} (b) p q^{2} - 6 p - 5 q^{2} .$

Short Answer

Expert verified

The result will be

$\begin{array}{l} a) - 4 m^{2} + n^{2} \\ b) p q^{2} - 6 p - 5 q^{2} \end{array}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenpolynomialsare \\ (a) 3 m^{2} + n^{2} - 7 m^{2} (b) p q^{2} - 6 p - 5 q^{2} . \\ Wehavetoaddtheterms \end{array}$

Step 2. Solve part (a)

$\begin{array}{l} Wehave(a) 3 m^{2} + n^{2} - 7 m^{2} . \\ Combinetheliketerms \\ \Rightarrow 3 m^{2} + n^{2} - 7 m^{2} = (3 - 7) m^{2} + n^{2} \\ = - 4 m^{2} + n^{2} \end{array}$

Step 3. Solve part (b)

$\begin{array}{l} Wehave(b) p q^{2} - 6 p - 5 q^{2} . \\ Combinetheliketerms \\ \Rightarrow p q^{2} - 6 p - 5 q^{2} = p q^{2} - 6 p - 5 q^{2} [Therearenoliketerms] \end{array}$

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$Add: (a) 3 m^{2} + n^{2} - 7 m^{2} (b) p q^{2} - 6 p - 5 q^{2} .$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve part (a)

Step 3. Solve part (b)

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Add: (a)3m2+n2-7m2(b)pq2-6p-5q2.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve part (a)

Step 3. Solve part (b)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Probability and Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

$Add: (a) 3 m^{2} + n^{2} - 7 m^{2} (b) p q^{2} - 6 p - 5 q^{2} .$