Chapter 8: Q3. (page 492)

Factor each monomial completely.
$- 20 m^{5} n^{2}$

Short Answer

Expert verified

$- 1 \cdot 2 \cdot 2 \cdot 5 \cdot m \cdot m \cdot m \cdot m \cdot m \cdot n \cdot n$

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.

$- 20 m^{5} n^{2} = - 1 \cdot 20 m^{5} n^{2} = - 1 \cdot 2 \cdot 10 \cdot m \cdot m \cdot m \cdot m \cdot m \cdot n \cdot n = - 1 \cdot 2 \cdot 2 \cdot 5 \cdot m \cdot m \cdot m \cdot m \cdot m \cdot n \cdot n$

Step 3. Write the conclusion.

The given monomial cannot be factored further, therefore $- 1 \cdot 2 \cdot 2 \cdot 5 \cdot m \cdot m \cdot m \cdot m \cdot m \cdot n \cdot n$ is the required answer.

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Factor each monomial completely.
$- 20 m^{5} n^{2}$

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.−20m5n2

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

Geometry

Mechanics Maths

Probability and Statistics

Decision Maths

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Factor each monomial completely.
$- 20 m^{5} n^{2}$