quick math simplify
Enter expression in this form
Example: 3x^2 +2x-3x+5x^2-4x+1
Quick Math – Simplification of Algebraic Expressions
Simplifying algebraic expressions involves reducing them to their simplest form by combining like terms, applying distributive property, and performing operations according to algebraic rules. This process makes expressions easier to handle and understand.
Steps for Simplification
1. Combine Like Terms: Combine terms that have the same variable raised to the same power.
2. Apply Distributive Property: Distribute terms across parentheses.
3. Factor: Factor out common terms or use factoring techniques to simplify.
4. Simplify Fractions: Reduce fractions by cancelling common factors in the numerator and denominator.
Detailed Example
Let’s simplify the expression \(3x^2 + 2x – 3 + 5x^2 – 4x + 1\).
Steps:
1. Combine Like Terms:
– Group like terms together: \(3x^2 + 5x^2 + 2x – 4x – 3 + 1\).
2. Add or Subtract Coefficients:
– Combine coefficients of like terms:
\[(3x^2 + 5x^2) + (2x – 4x) + (-3 + 1)\].
– Simplify each group:
\[8x^2 – 2x – 2\].
3. Write the Simplified Expression:
– The simplified form of \(3x^2 + 2x – 3 + 5x^2 – 4x + 1\) is \(8x^2 – 2x – 2\).
Verification
To verify, expand the original expression and check if it matches the simplified form:
Original: \(3x^2 + 2x – 3 + 5x^2 – 4x + 1\).
Expanded: \(8x^2 – 2x – 2\).
The expanded and simplified forms match, confirming that the simplification process was performed correctly.
