Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 7: Q15. (page 463)

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

Short Answer

Expert verified

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

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

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

Step 3. Group like terms.

Group like terms in the given expression.

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

Step 4. Combine like terms.

Combine like terms in expression in horizontal format.

$鈭� 6 n^{2} + 3 m + 6 n$

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

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91影视

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

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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91影视

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

Applied Mathematics

Mechanics Maths

Statistics

Calculus

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

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