Chapter 5: Q. 5.12 (page 492)

$Subtract (m^{2} - 7 m n - 3 n^{2}) from (m^{2} + n^{2})$

Short Answer

Expert verified

On subtracting $(m^{2} - 7 m n - 3 n^{2}) from (m^{2} + n^{2})$ we get $7 m n + 4 n^{2}$

Step by step solution

Step 1. Given information

We have to subtract $(m^{2} - 7 m n - 3 n^{2}) from (m^{2} + n^{2})$

This means we have to find

$(m^{2} + n^{2}) - (m^{2} - 7 m n - 3 n^{2})$

Step 2. Distribute and identify like terms

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

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$Subtract (m^{2} - 7 m n - 3 n^{2}) from (m^{2} + n^{2})$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Distribute and identify like terms

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Subtractm2-7mn-3n2fromm2+n2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Distribute and identify like terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Theoretical and Mathematical Physics

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Applied Mathematics

Study anywhere. Anytime. Across all devices.

$Subtract (m^{2} - 7 m n - 3 n^{2}) from (m^{2} + n^{2})$