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Rewrite Equation Without Parentheses Calculator

Reviewed by Calculator Editorial Team

This rewrite equation without parentheses calculator helps you remove parentheses from mathematical expressions while maintaining the same value. Parentheses are often used to control the order of operations, but sometimes you need to rewrite an equation without them for clarity or specific purposes.

How to Use This Calculator

Using this calculator is simple:

  1. Enter your equation in the input box, including parentheses.
  2. Click the "Calculate" button.
  3. The calculator will display the rewritten equation without parentheses.
  4. Review the result and any assumptions used in the calculation.

The calculator handles basic arithmetic operations (+, -, *, /) and follows the standard order of operations (PEMDAS/BODMAS rules).

How It Works

The calculator uses algebraic rules to rewrite equations without parentheses while maintaining mathematical equivalence. Here's how it works:

  1. Identify the parentheses in the equation.
  2. Apply the distributive property (a(b + c) = ab + ac) where applicable.
  3. Combine like terms to simplify the expression.
  4. Remove the parentheses and present the simplified equation.

For example, the equation (2x + 3) + (4x - 1) becomes 6x + 2 when rewritten without parentheses.

The calculator ensures the rewritten equation is mathematically equivalent to the original, just without parentheses.

Examples

Example 1: Simple Addition

Original equation: (3 + 5) + (2 + 4)

Rewritten without parentheses: 3 + 5 + 2 + 4 = 14

Example 2: With Variables

Original equation: 2(x + 3) + (4x - 1)

Rewritten without parentheses: 2x + 6 + 4x - 1 = 6x + 5

Example 3: Complex Expression

Original equation: (a + b)(c + d)

Rewritten without parentheses: ac + ad + bc + bd

FAQ

Can this calculator handle all types of parentheses?
Yes, the calculator can handle both round parentheses ( ) and square brackets [ ].
What if my equation has exponents or fractions?
The calculator can handle basic exponents and fractions, but complex expressions may require manual simplification.
Is the rewritten equation always simpler?
Not necessarily. While the calculator removes parentheses, the expression might become more complex depending on the original equation.
Can I use negative numbers in the equation?
Yes, the calculator accepts negative numbers in the input equation.