Question

Find the equivalent expression 9 ( 2a + 1

Answer 1

Answer:

Equivalent expression of $9(2a+1)$ is, $18a+9$

Step-by-step explanation:

The distributive property says that:

$a \cdot (b+c) = a\cdot b + a\cdot c$

Given the expression: $9(2a+1)$

Apply the distributive property:

$9 \cdot (2a) +9 \cdot 1$

Simplify:

$18a+9$

Therefore, the equivalent expression of $9(2a+1)$ is, $18a+9$

Answer 2

The equivalent expression of $9\left( {2a + 1} \right)$ is $\boxed{18a + 9}.$

Further explanation:

The associative property is defined as a grouping of multiplication, addition, subtraction and division.

Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.

Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.

Given:

The expression is $9\left( {2a + 1} \right).$

Explanation:

The distributive property can be expressed as follows,

$\boxed{x \cdot \left( {y + z} \right) = x \cdot y + x \cdot z}$

The given expression is $9\left( {2a + 1} \right).$

Simplify the expression $9\left( {2a + 1} \right)$ to obtain the equivalent expression.

$\begin{aligned}A&= 9\left( {2a + 1} \right)\\&= 9 \cdot 2a + 9 \cdot 1\\&= 18a + 9\\\end{aligned}$

The equivalent expression of $9\left( {2a + 1} \right)$ is $\boxed{18a + 9}.$

Learn more:

1. Learn more about line segment brainly.com/question/909890.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about coplanar and noncollinearhttps://brainly.com/question/4165000.

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Number System

Keywords: expression, equivalent, one below, 9(2a+1), exponents, addition, powers, associative property, distributive property.