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Difficulty: EasySimplifying Algebraic Expressions

What is the simplified form of the algebraic expression below?

2(4x+3)−x2(4x + 3) - x
  1. A
    13x13x
  2. 7x+67x + 6Answer
  3. C
    7x+37x + 3
  4. D
    9x+69x + 6

Answer

The correctly simplified expression is 7x+67x + 6.
To simplify the expression, first apply the distributive property by multiplying 2 by both terms inside the parentheses: 2(4x)+2(3)=8x+62(4x) + 2(3) = 8x + 6. Then, bring down the rest of the expression: 8x+6−x8x + 6 - x. Finally, combine the like terms involving xx: 8x−x=7x8x - x = 7x. The simplified result is 7x+67x + 6.

Step-by-Step Solution

1
Distribute the 2 to both terms inside the parentheses.
8x+6−x8x + 6 - x
The distributive property requires multiplying the outside term by every term inside the parentheses.
2
Combine the like terms (8x8x and −x-x).
7x+67x + 6
Only terms with the same variable and exponent can be combined.

Key Concept

Simplifying Algebraic Expressions (Distributive Property and Combining Like Terms)
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Topics

Simplifying Algebraic Expressions

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