Q14. Simplify each expression14. 9p-2... [FREE SOLUTION]

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Chapter 1: Q14. (page 15)

Simplify each expression
14. $9 p - 2 n + 4 p + 2 n$

Short Answer

Expert verified

$9 p - 2 n + 4 p + 2 n$ is simplified to $13 p$

Step by step solution

- Write properties of real numbers

Properties of real numbers are written in following table:

For any real numbers a, b, and c:
Property	Addition	Multiplication
Commutative	$a + b = b + a$	$a 路 b = b 路 a$
Associative	$(a + b) + c = a + (b + c)$	$(a 路 b) 路 c = a 路 (b 路 c)$
Identity	$a + 0 = a = 0 + a$	$a 路 1 = a = 1 路 a$
Inverse	$a + (- a) = 0 = (- a) + a$	If $a 鈮� 0$ , then $a 路 \frac{1}{a} = 1 = \frac{1}{a} 路 a$
Distributive	$a (b + c) = a b + a c and (b + c) a = b a + c a$

- Simplify by grouping same variables

To simplify given equation, first use commutative property of addition between two middle most terms then distributive property to group coefficients of same variable as shown below

$\begin{matrix} 9 p 鈭� 2 n + 4 p + 2 n = 9 p + 4 p 鈭� 2 n + 2 n \\ = (9 + 4) p + (鈭� 2 + 2) n \end{matrix}$

- Use additive identity property

Simplify parentheses by adding the terms as shown below

$\begin{matrix} (9 + 4) p + (鈭� 2 + 2) n = 13 p + 0 n \\ = 13 p \end{matrix}$

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91影视

Simplify each expression
14. $9 p - 2 n + 4 p + 2 n$

Short Answer

Step by step solution

- Write properties of real numbers

- Simplify by grouping same variables

- Use additive identity property

One App. One Place for Learning.

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91影视

Simplify each expression14. 9p-2n+4p+2n

Short Answer

Step by step solution

- Write properties of real numbers

- Simplify by grouping same variables

- Use additive identity property

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Geometry

Pure Maths

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

Simplify each expression
14. $9 p - 2 n + 4 p + 2 n$