Chapter 8: Q18. (page 514)

Find the greatest common factor of each set of monomials.
$10 a b, 30 a, 40 a^{2} b$

Short Answer

Expert verified

The greatest common factor of the given set of monomials is $10 a$ .

Step by step solution

Step 1. Find the factorization of 10ab,30a and 40a2b.

Find the factorization of $10 a b$ , $30 a$ and $40 a^{2} b$ .

$10 a b = 2 \cdot 5 \cdot a \cdot b 30 a = 2 \cdot 3 \cdot 5 \cdot a 40 a^{2} b = 2 \cdot 2 \cdot 2 \cdot 5 \cdot a \cdot a \cdot b$

Step 2. Find the greatest common factor of 10ab,30a and 40a2b.

From the factorization of $10 a b, 30 a$ and $40 a^{2} b$ , it can be noticed that the greatest common factor of $10 a b, 30 a$ , and $40 a^{2} b$ is $2 \cdot 5 \cdot a$ or $10 a$ .

Therefore, the greatest common factor of the given set of monomials is $10 a$ .

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Find the greatest common factor of each set of monomials.
$10 a b, 30 a, 40 a^{2} b$

Short Answer

Step by step solution

Step 1. Find the factorization of 10ab,30a and 40a2b.

Step 2. Find the greatest common factor of 10ab,30a and 40a2b.

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Find the greatest common factor of each set of monomials.10ab,30a,40a2b

Short Answer

Step by step solution

Step 1. Find the factorization of 10ab,30a and 40a2b.

Step 2. Find the greatest common factor of 10ab,30a and 40a2b.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Calculus

Mechanics Maths

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the greatest common factor of each set of monomials.
$10 a b, 30 a, 40 a^{2} b$