Respuesta :
Answer:
Equivalent expression of [tex]9(2a+1)[/tex] is, [tex]18a+9[/tex]
Step-by-step explanation:
The distributive property says that:
[tex]a \cdot (b+c) = a\cdot b + a\cdot c[/tex]
Given the expression: [tex]9(2a+1)[/tex]
Apply the distributive property:
[tex]9 \cdot (2a) +9 \cdot 1[/tex]
Simplify:
[tex]18a+9[/tex]
Therefore, the equivalent expression of [tex]9(2a+1)[/tex] is, [tex]18a+9[/tex]
The equivalent expression of [tex]9\left( {2a + 1} \right)[/tex] is [tex]\boxed{18a + 9}.[/tex]
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 [tex]9\left( {2a + 1} \right).[/tex]
Explanation:
The distributive property can be expressed as follows,
[tex]\boxed{x \cdot \left( {y + z} \right) = x \cdot y + x \cdot z}[/tex]
The given expression is [tex]9\left( {2a + 1} \right).[/tex]
Simplify the expression [tex]9\left( {2a + 1} \right)[/tex] to obtain the equivalent expression.
[tex]\begin{aligned}A&= 9\left( {2a + 1} \right)\\&= 9 \cdot 2a + 9 \cdot 1\\&= 18a + 9\\\end{aligned}[/tex]
The equivalent expression of [tex]9\left( {2a + 1} \right)[/tex] is [tex]\boxed{18a + 9}.[/tex]
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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.
