Chapter 8: Q17. (page 514)

Find the greatest common factor of each set of monomials.
$6 a b, 24 a b^{4}$

Short Answer

Expert verified

The greatest common factor of the given set of monomials is $6 a b$ .

Step by step solution

Step 1. Find the factorization of 6ab and 24ab4.

Find the factorization of $6 a b$ and $24 a b^{4}$ .

$6 a b = 2 \cdot 3 \cdot a \cdot b 24 a b^{4} = 2 \cdot 2 \cdot 2 \cdot 3 \cdot a \cdot b \cdot b \cdot b \cdot b$

Step 2. Find the greatest common factor of 6ab and 24ab4.

From the factorization of $6 a b$ and $24 a b^{4}$ , it can be noticed that the greatest common factor of $6 a b$ and $24 a b^{4}$ is $2 \cdot 3 \cdot a \cdot b$ or $6 a b$ .

Therefore, the greatest common factor of the given set of monomials is $6 a b$ .

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Find the greatest common factor of each set of monomials.
$6 a b, 24 a b^{4}$

Short Answer

Step by step solution

Step 1. Find the factorization of 6ab and 24ab4.

Step 2. Find the greatest common factor of 6ab and 24ab4.

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Find the greatest common factor of each set of monomials.6ab,24ab4

Short Answer

Step by step solution

Step 1. Find the factorization of 6ab and 24ab4.

Step 2. Find the greatest common factor of 6ab and 24ab4.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Applied Mathematics

Discrete Mathematics

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the greatest common factor of each set of monomials.
$6 a b, 24 a b^{4}$