Chapter 7: Q15. (page 463)

Find each sum or difference.
$(7 m - 8 n^{2} + 3 n) - (- 2 n^{2} + 4 m - 3 n)$

Short Answer

Expert verified

The difference of $(7 m - 8 n^{2} + 3 n) - (- 2 n^{2} + 4 m - 3 n)$ is $- 6 n^{2} + 3 m + 6 n$ .

Step by step solution

Step 1. Write steps to subtract polynomials.

Following are the steps to subtract polynomials.

1. Subtract the number by adding its additive inverse.

2. Group like terms.

3. Combine like terms by using horizontal or vertical format.

Step 2. Add additive inverse.

Subtract $- 2 n^{2} + 4 m - 3 n$ by adding its additive inverse.

$(7 m - 8 n^{2} + 3 n) + (2 n^{2} - 4 m + 3 n)$

Step 3. Group like terms.

Group like terms in the given expression.

$(- 8 n^{2} + 2 n^{2}) + (7 m - 4 m) + (3 n + 3 n)$

Step 4. Combine like terms.

Combine like terms in expression in horizontal format.

$- 6 n^{2} + 3 m + 6 n$

Therefore, the difference of $(7 m - 8 n^{2} + 3 n) - (- 2 n^{2} + 4 m - 3 n)$ is $- 6 n^{2} + 3 m + 6 n$ .

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Find each sum or difference.
$(7 m - 8 n^{2} + 3 n) - (- 2 n^{2} + 4 m - 3 n)$

Short Answer

Step by step solution

Step 1. Write steps to subtract polynomials.

Step 2. Add additive inverse.

Step 3. Group like terms.

Step 4. Combine like terms.

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Find each sum or difference.7m−8n2+3n−−2n2+4m−3n

Short Answer

Step by step solution

Step 1. Write steps to subtract polynomials.

Step 2. Add additive inverse.

Step 3. Group like terms.

Step 4. Combine like terms.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Find each sum or difference.
$(7 m - 8 n^{2} + 3 n) - (- 2 n^{2} + 4 m - 3 n)$