Chapter 8: Q16. (page 514)

Find the greatest common factor of each set of monomials.
$21 x y, 28 x^{2} y, 42 x y^{2}$

Short Answer

Expert verified

The greatest common factor of the given set of monomials is $7 x y$ .

Step by step solution

Step 1. Find the factorization of 21xy,28x2y and 42xy2.

Find the factorization of $21 x y$ , $28 x^{2} y$ and $42 x y^{2}$ .

$21 x y = 3 \cdot 7 \cdot x \cdot y 28 x^{2} y = 2 \cdot 2 \cdot 7 \cdot x \cdot x \cdot y 42 x y^{2} = 2 \cdot 3 \cdot 7 \cdot x \cdot y \cdot y$

Step 2. Find the greatest common factor of 21xy,28x2y and 42xy2.

From the factorization of $21 x y, 28 x^{2} y$ and $42 x y^{2}$ , it can be noticed that the greatest common factor of $21 x y, 28 x^{2} y$ and $42 x y^{2}$ is $7 \cdot x \cdot y$ or $7 x y$ .

Therefore, the greatest common factor of the given set of monomials is $7 x y$ .

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Find the greatest common factor of each set of monomials.
$21 x y, 28 x^{2} y, 42 x y^{2}$

Short Answer

Step by step solution

Step 1. Find the factorization of 21xy,28x2y and 42xy2.

Step 2. Find the greatest common factor of 21xy,28x2y and 42xy2.

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Find the greatest common factor of each set of monomials.21xy,28x2y,42xy2

Short Answer

Step by step solution

Step 1. Find the factorization of 21xy,28x2y and 42xy2.

Step 2. Find the greatest common factor of 21xy,28x2y and 42xy2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Decision Maths

Discrete Mathematics

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

Find the greatest common factor of each set of monomials.
$21 x y, 28 x^{2} y, 42 x y^{2}$