Q8. Read each question. Then fill in... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 7: Q8. (page 467)

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.
Identify the expression below that does not belong with the other two. Explain.
$(3 m 鈭� 2 n) (3 m + 2 n)$
$(3 m + 2 n) (3 m + 2 n)$
$(3 m + 2 n) (3 m 鈭� 2 n)$

Short Answer

Expert verified

The expression that does not belong with the other two is $(3 m + 2 n) (3 m + 2 n)$ becausethe values of the expressions $(3 m 鈭� 2 n) (3 m + 2 n)$ and $(3 m + 2 n) (3 m 鈭� 2 n)$ are same equal to $9 m^{2} 鈭� 4 n^{2}$ but the value of the expression $(3 m + 2 n) (3 m + 2 n)$ is $9 m^{2} + 12 m n + 4 n^{2}$ .

Step by step solution

Step 1. Write the formula for a−ba+b and a+b2.

The formulas are:

$(a 鈭� b) (a + b) = a^{2} 鈭� b^{2}$

${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$

Step 2. Identify the expression below that does not belong with the other two.

The value of the expression $(3 m 鈭� 2 n) (3 m + 2 n)$ is:

role="math" localid="1647697345323" $(3 m 鈭� 2 n) (3 m + 2 n) = {(3 m)}^{2} 鈭� {(2 n)}^{2} (鈭� (a 鈭� b) (a + b) = a^{2} 鈭� b^{2}) = 3^{2} m^{2} 鈭� 2^{2} n^{2} = 9 m^{2} 鈭� 4 n^{2}$

The value of the expression $(3 m + 2 n) (3 m 鈭� 2 n)$ is:

role="math" localid="1647697413456" $(3 m + 2 n) (3 m 鈭� 2 n) = {(3 m)}^{2} 鈭� {(2 n)}^{2} (鈭� (a 鈭� b) (a + b) = a^{2} 鈭� b^{2}) = 3^{2} m^{2} 鈭� 2^{2} n^{2} = 9 m^{2} 鈭� 4 n^{2}$

The value of the expression $(3 m + 2 n) (3 m + 2 n)$ is:

role="math" localid="1647697633414" $(3 m + 2 n) (3 m + 2 n) = {(3 m)}^{2} + 2 (3 m) (2 n) + {(2 n)}^{2} (鈭� {(a + b)}^{2} = a^{2} + 2 a b + b^{2}) = 3^{2} m^{2} + 12 m n + 2^{2} n^{2} = 9 m^{2} + 12 m n + 4 n^{2}$

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91影视

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.
Identify the expression below that does not belong with the other two. Explain.
$(3 m 鈭� 2 n) (3 m + 2 n)$
$(3 m + 2 n) (3 m + 2 n)$
$(3 m + 2 n) (3 m 鈭� 2 n)$

Short Answer

Step by step solution

Step 1. Write the formula for a−ba+b and a+b2.

Step 2. Identify the expression below that does not belong with the other two.

One App. One Place for Learning.

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91影视

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.Identify the expression below that does not belong with the other two. Explain.3m鈭�2n3m+2n3m+2n3m+2n3m+2n3m鈭�2n

Short Answer

Step by step solution

Step 1. Write the formula for a−ba+b and a+b2.

Step 2. Identify the expression below that does not belong with the other two.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Statistics

Decision Maths

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.
Identify the expression below that does not belong with the other two. Explain.
$(3 m 鈭� 2 n) (3 m + 2 n)$
$(3 m + 2 n) (3 m + 2 n)$
$(3 m + 2 n) (3 m 鈭� 2 n)$