Chapter 8: Q1. (page 492)

Factor each monomial completely.
$16 x^{3} y^{2}$

Short Answer

Expert verified

$1 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot x \cdot x \cdot x \cdot y \cdot y$

Step by step solution

Step 1. Define monomial.

Monomial can be expressed as a product of prime numbers and variables, and no variable has an exponent greater than 1.

Step 2. Factor given number.

Factor given number and write all powers of variables as products.

$16 x^{3} y^{2} = 1 \cdot 16 x^{3} y^{2} = 1 \cdot 2 \cdot 8 \cdot x \cdot x \cdot x \cdot y \cdot y = 1 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot x \cdot x \cdot x \cdot y \cdot y$

Step 3. Write the conclusion.

The given monomial can not be factored further, therefore $1 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot x \cdot x \cdot x \cdot y \cdot y$ is the required answer.

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Factor each monomial completely.
$16 x^{3} y^{2}$

Short Answer

Step by step solution

Step 1. Define monomial.

Step 2. Factor given number.

Step 3. Write the conclusion.

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Factor each monomial completely.16x3y2

Short Answer

Step by step solution

Step 1. Define monomial.

Step 2. Factor given number.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Factor each monomial completely.
$16 x^{3} y^{2}$