Chapter 8: Q3. (page 513)

State whether each sentence is true or false. If false, replace the underlined phrase or expression to make a true sentence.
$\underline{5 x}$ is the greatest common factor of $10 x$ and $15 x y^{2}$ .

Short Answer

Expert verified

The given sentence isTrue.

Step by step solution

Step 1. Find the greatest common factor of 10x and 15xy2.

Find the factorization of $10 x$ and $15 x y^{2}$ .

$10 x = 2 \cdot 5 \cdot x 15 x y^{2} = 3 \cdot 5 \cdot x \cdot y \cdot y$

Therefore, it can be noticed that:

The greatest common factor of $10 x$ and $15 x y^{2}$ is $5 \cdot x$ or $5 x$ .

Step 2. State whether the given sentence is true or false.

The greatest common factor of $10 x$ and $15 x y^{2}$ is $5 x$ .

Therefore, the given sentence is True.

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State whether each sentence is true or false. If false, replace the underlined phrase or expression to make a true sentence.
$\underline{5 x}$ is the greatest common factor of $10 x$ and $15 x y^{2}$ .

Short Answer

Step by step solution

Step 1. Find the greatest common factor of 10x and 15xy2.

Step 2. State whether the given sentence is true or false.

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State whether each sentence is true or false. If false, replace the underlined phrase or expression to make a true sentence.5x¯is the greatest common factor of10xand15xy2.

Short Answer

Step by step solution

Step 1. Find the greatest common factor of 10x and 15xy2.

Step 2. State whether the given sentence is true or false.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

State whether each sentence is true or false. If false, replace the underlined phrase or expression to make a true sentence.
$\underline{5 x}$ is the greatest common factor of $10 x$ and $15 x y^{2}$ .